On this page of Benford's Law Stocks.com we present our study of PENN Entertainment, Inc. — ticker symbol PENN. SEC filings have been screened by our Benford's Law software, for quarterly 10Q and annual 10K filings from 2/26/2021 to 11/6/2025 for PENN Entertainment, Inc. under CIK number 0000921738. For filings made in XBRL (eXtensible Business Reporting Language) format, our algorithm extracts all "tagged" numbers presented by the company; for any non-XBRL filings our algorithm uses its own interal set of rules to extract what it believes to be numbers as found throughout the filings. The format found for each filing is presented below together with the results for PENN, with the percentage of found numbers beginning with each digit (1's, 2's, 3's, 4's, 5's, 6's, 7's, 8's, and 9's) charted against the "normal" range observed throughout our coverage universe, as well as the "normal" range for PENN Entertainment, Inc. based on the past PENN filings our system processed in the past.
30.6
16.2
15.9
9.3
7.1
5.9
6.2
6.1
2.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
XBRL?   [ original filing, PENN stockholder letter ]
Total numbers found: 1,430
Recent share count: 146,004,714 (1's column)

= Typical range across full coverage universe
Benford's Law Stocks Indicator
1430
High count compared to other filers, with PENN falling in the highest quartile of filers. At this number count, it would take about 14 numbers to move any given column by a full percentage point.
92

Starting from a possible score of 100, we made the following score deductions:
 • We deducted points upon observing the 3's percentage was above the typical coverage universe range.
 • We deducted points upon observing the 3's percentage was above the company's typical historical range.
 • The 7's percentage was higher than the 6's percentage, increasing the penalty multiplier.
 • We deducted point upon observing the 8's percentage was above the typical coverage universe range.
 • We deducted point upon observing the 8's percentage was above the company's typical historical range.
 • We deducted point upon observing the 9's percentage was below the typical coverage universe range.
 • We deducted point upon observing the 9's percentage was below the company's typical historical range.
Benford's Law Stocks Indicator
PENN
Normal-to-high score compared to other filers, falling within the top of the middle 50%.
ONFO
PANW
PHIO
QLYS
PAA
PCAR
PFX
PTMN
Check our work! We provide our PENN Entertainment, Inc. Benford's Law analysis for informational purposes only, and our software should be expected to make mistakes and contain errors (nothing you see on this website should be relied upon for any decision-making without first repeating the analysis yourself independently), and so below we present to you all of the numbers our system detected, for the PENN filing above. This way, you can open the filing on your own and compare what you see below against what you yourself find. This can also be helpful for exploring any columns in particular that caught your eye.

1's 2's 3's
We found 438 numbers that start with the digit 1. Here they are:
133,249,972
141.5
152.3
1,087.7
1,154.4
1,784.8
1,506.3
1,529.9
1,946.9
14,310.5
15,261.7
1,442.7
1,415.1
117.3
130.0
135.0
12,357.7
12,403.3
1,000,000
18,500
178,100,726
177,396,073
137,719,193
152,229,171
1.8
1.8
1,051.3
1,417.2
1,958.8
1,952.8
14,310.5
15,261.7
1,325.2
1,288.0
1,163.6
1,030.5
1,717.3
1,639.2
1,231.2
1,170.1
114.2
108.7
1,571.7
120.6
118.4
19.2
11.8
102.2
192.5
13.0
179.5
1.7
1.3
178.2
1.17
1.17
143.5
152.2
148.2
152.1
143.5
152.2
148.2
152.1
179.5
18.6
18.6
18.9
1.7
1.3
18.1
145,452,528
1.8
163.0
16.8
16.8
16.8
154.1
154.1
154.1
14.5
14.5
14.5
1.4
137,719,193
1.8
1,051.3
1,417.2
1,958.8
1,952.8
152,116,584
1.8
176.8
12.9
12.9
12.9
14.4
14.4
14.4
18.6
18.6
18.6
152,156,588
1.8
158.2
152,229,171
1.8
15,214,631
1.7
137,719,193
1.8
1,051.3
1,417.2
1,958.8
1,952.8
151,552,694
1.8
121.3
1
1
1
159,372
159,372
178.2
178.2
1.3
179.5
152,156,588
1.8
158.2
179.5
14.2
11.8
11.8
13.8
1.0
17.5
130.0
17.8
18.3
19.7
129.0
175.0
1,094.4
1.2
1.2
182.4
165.7
105.6
105.9
134.9
151.4
1.2
1.1
1.9
1.7
100
129.3
1,325.2
19.0
15.7
111.0
14.0
16.4
10.7
168.4
138.3
1,717.3
109.0
1,288.0
18.7
15.5
104.5
15.7
17.8
10.4
10.3
135.6
179.2
131.8
1,639.2
1,863.5
113.2
112.0
193.5
14.1
11.9
12.6
15.1
12.6
1,850.3
108.5
190.3
14.0
13.0
19.7
15.9
19.7
139.5
104.1
1,116.7
1,544.3
16.6
1,562.5
169.5
1,544.3
1,116.7
1,591.0
16.6
169.5
1,784.8
1,064.9
1,064.9
1,064.9
1,064.9
111.8
109.4
111.6
106.6
121.1
184.9
118.1
16.9
18.3
1,871.4
1,506.3
1,839.7
1,529.9
15.0
106.7
16.2
144.9
1,347.0
10.8
1,335.8
1.0
1.0
1.50
1.25
1.75
1.50
1.75
1.50
11.8
106.7
106.3
110.4
123.2
13.2
118.4
1.1
1
1.3
1.2
142.6
12.1
13.9
14
1.8
130.0
150.0
1.4
1.5
130.0
150.0
130.0
10.1
166.3
163.0
150.0
11.7
12
1.8
1.50
1.25
1.1
158.5
152.5
166.6
147.2
166.6
147.0
166.6
147.0
166.7
1,546.6
1,684.8
181.1
176.7
13.5
13.2
158.1
154.9
12.4
14.8
189.0
181.9
150.6
150.1
111.1
111.2
122.2
18.6
150.0
1,578,670
112.5
14.5
141.7
15.9
12,319,340
15,214,631
154.1
19.34
17.70
17.44
1,254,323
1,317,269
16.8
12.9
1
1
14.1
10.5
14.1
178.2
143.1
151.7
147.8
151.6
143.5
152.2
148.2
152.1
1.17
178.2
143.5
152.2
148.2
152.1
1.17
1,923.6
1,933.5
1,933.5
106.3
111.5
111.5
10.6
10.6
10.6
1,437.0
1,453.9
1,453.9
12.0
13.9
15.0
12.5
138.3
1,717.3
187.1
104.0
106.8
197.9
119.1
158.1
16.8
1.5
114.2
1.1
139.5
14.5
131.8
1,639.2
133.2
100.5
108.0
199.3
106.4
118.5
154.9
12.9
1
108.7
1.1
118.4
104.1
15.9
15.1
12.6
187.5
177.2
135.7
106.2
156.1
150.3
1,184.8
110.5
1.2
14.5
11.8
1.5
112.5
108.7
15.0
15.9
19.7
191.7
166.4
129.6
133.1
195.4
153.5
144.0
1,057.6
14.9
19.2
192.5
13.0
179.5
141.7
18.9
16.0
119.0
115.4
1.8
1.9
172.7
132.1
1
1,771.1
1,296.7
1,509.1
1,554.6
14,310.5
1
1,808.1
1,301.7
1,503.7
15,261.7
We found 232 numbers that start with the digit 2. Here they are:
231.0
256.8
2,563.1
2,014.3
227.4
232.0
2,796.3
2,732.5
2,309.4
2,343.1
2,027.6
2,062.3
25,166,902
201.2
255.0
2,862.7
2,858.4
2,575.9
2,576.7
284.2
244.4
2,493.7
2.3
29.1
22.1
215.1
2.8
2.5
2.8
24
24
216.4
215.1
2,988.1
2,982.6
231,410
2.3
201.2
255.0
2,862.7
2,858.4
269.4
269.4
269.4
2.4
201.2
2.5
266.0
236.5
29.1
22.1
28.5
24.6
215.1
24.3
29.8
2.1
22.0
254.6
222.3
23.6
256.4
261.7
29.3
2.1
217.5
223.8
28.2
28.2
269.4
27.1
28.6
232.2
27.0
292.2
28
2.4
2.3
294.2
279.3
27.3
29.7
270.5
215.2
265.1
26.1
22.6
2.6
214.7
291.0
298.3
297.7
2.6
220.2
259.1
23.6
23.4
288.1
292.2
244.6
287.2
27.7
21.6
2,083.0
275.9
283.5
2.9
29.3
21.5
2,065.8
236.6
216.8
200.2
2,563.1
236.6
216.8
2,387.5
200.2
2.4
235.3
20.4
21.8
2.75
210.5
2,853.4
2,797.3
2.7
23.5
2,796.3
2,732.5
2,853.4
2.25
2.75
25
20
2.00
2.75
2.50
23.9
2.75
2.75
223.8
2.6
2.3
2.7
201.2
27.0
2
225.0
2
2
2.5
2
2,786.0
2,016.8
2,076.6
2,354.6
2,027.6
2,309.4
216.1
212.9
262.2
259.3
20.1
20.1
2.4
2.4
241.9
238.0
26.0
21.9
2.3
2.5
27.3
27.9
22.7
22.7
2.7
23.1
26.08
29.99
269.4
22,067,275
22,067,275
200
2
24
24
2.7
210.5
209.3
201.2
2.7
274.6
2.0
214.9
2.3
291.0
298.3
297.7
2.6
281.8
25.3
2.9
2.3
288.1
292.2
244.6
277.0
22.9
2.7
2.8
29.1
2,083.0
231.7
235.0
211.0
250.1
227.6
215.1
21.0
215.1
2,065.8
233.0
235.4
29.5
22.0
204.2
2
261.7
2.4
2,385.6
We found 227 numbers that start with the digit 3. Here they are:
38.7
3,777.7
3,705.0
3,899.3
3,976.8
38.2
38.2
372.7
322.1
3,534.4
3,654.3
379,941
3,991.2
3,878.6
392.1
351.2
392.5
332.7
326.5
303.9
356.9
3.3
3.3
313.1
34.7
37.5
36.7
37.5
38.2
36.9
38.2
36.9
380,478
38.2
38.2
38.2
3.7
3.7
379,941
3,055.9
3.0
3,052.9
39,069
36.7
36.7
37.5
3,064.7
3.8
3,060.9
379,941
335.5
3,202.1
3,199.6
39.0
39.0
39.0
36.9
36.9
36.9
3,064.7
3.8
3,060.9
332.7
326.5
34.1
3.3
34.9
39.0
33.6
38.4
30.4
35.5
303.3
312.7
32.4
30.5
39.8
37.5
30.5
31.7
30.8
324.6
33
35.6
36.6
37.6
347.4
30.5
39.5
36.7
39.0
3.5
35.8
34.0
3.5
398.4
3,991.2
3.2
331.6
39.8
31.5
3,878.6
312.8
30.8
395.9
302.8
300.4
300.4
319.5
319.5
356.4
303.0
37.3
365.1
309.8
330.5
38.2
38.2
3.1
35
330.5
330.5
327.9
338.3
366.1
34.4
303.9
356.9
3.3
34.1
3.3
30.0
3.0
3,127.0
3,663.3
3,761.4
3,907.1
372.7
3,534.4
39.6
36.9
37.5
306.9
32.2
34.0
31.9
31.8
38.1
3,177,610
3,200,930
32.60
37.5
379,941
395.4
39.0
37.0
35.3
35.1
36.7
36.7
39.5
31.5
31.5
31.5
399.8
399.5
399.5
396.2
372.0
372.0
31.5
31.5
31.5
399.8
393.0
393.0
395.5
356.0
356.0
327.9
355.7
355.7
35.0
31.8
31.9
30.1
389.2
36.2
3.3
37.5
34.0
3.9
31.2
39.5
30.2
380.8
32.4
3.8
34.7
37.5
311.1
318.6
305.8
354.7
332.7
3.3
303.9
3.3
395.9
396.7
307.7
309.4
314.6
331.3
365.4
389.7
39.0
326.5
3.2
356.9
302.8
37.8
30.5
35.7
34.9
3.9
3.3
4's 5's 6's
We found 133 numbers that start with the digit 4. Here they are:
45.2
43.5
49.0
400,000,000
466,534
40,381,533
4,626.7
4,542.4
4.3
4,909.1
417.9
4,788.5
4.2
4,597.7
4,626.7
469,878
4,487.4
477.0
4
4
4
468,943
4,514.3
466,534
4,542.4
4.3
48.5
48.5
48.5
43.0
43.0
43.0
4,626.7
4,436.6
440,467
4,055
43.1
43.1
43.1
4.5
4.5
4.5
468,943
4,514.3
48.5
43.0
401.0
457.3
49.4
4
42.6
4.5
4.1
4.0
47.6
48.8
405.7
46.0
40.6
401.4
4,909.1
405.6
4,125.6
46.7
46.7
4,172.3
40.1
460.6
481.3
400.0
400.0
4.125
400.0
400.0
4.50
466.1
476.1
4
4.8
4
4.125
4.125
4.125
4
4.3
4
4
4
4
4
40.7
41.6
4,371.4
49.0
45.2
40.0
470.0
464.6
4.1
4.5
43.0
41.7
466,534
4,876,200
48.5
4.6
4
4
4.125
4.125
42.8
42.8
40.1
4.125
44.6
44.6
41.9
4.1
46.9
4.0
43.2
47.5
41.7
405.7
470.0
48.5
405.6
43.0
4,909.1
464.6
46.8
457.3
453.2
We found 101 numbers that start with the digit 5. Here they are:
55.1
50.8
53.2
5,000
5,154.8
5,810.9
56.4
5.3
59.4
5
5.20
5.20
53.8
53.8
5
552.6
5.5
537
537
5
513.7
53.8
53.8
53.8
560,267
513.7
55.5
53.4
5
54.1
50
57.3
5.9
5.3
568.5
5
5.5
55.6
505.5
5,154.8
55.8
50.2
527.4
562.3
554.4
562.3
554.4
5.0
510.0
5.625
5.5
550.0
50
50
5.00
510.0
500.0
5,928,661
5.1
5.625
5.625
5.625
50
50
5,453.7
58.9
5.2
5.2
5.2
5.2
560.0
549.6
50.0
50.6
56.7
5.0
53.4
5
5
5
5
5.20
5.20
5.625
5.625
5.625
58.3
54.1
51.1
5.3
58.7
55.9
53.8
5,154.8
540.2
59.4
53.4
58.0
5.9
566.3
5.2
We found 84 numbers that start with the digit 6. Here they are:
660.1
69.7
61.0
647.0
6.0
67.5
656.1
6.3
6.03
6.03
6.0
647.0
618,060
6.0
68,048
67.9
692.1
660.1
692.1
62.8
61.5
6.2
630.7
617.2
6
66.4
690.5
609.9
67.5
6.3
684.8
6.3
660.8
66.5
638.5
684.2
66.4
684.9
67.1
67.1
6
6
6
6
6.8
6.0
6.1
637.6
633.1
629.4
609.1
61.5
6.7
6.7
67.7
6
68.2
67.1
63.0
697,539
68,048
6,870,000
6.03
6.03
660.1
660.1
660.1
6.7
6.7
6.7
6.7
6.7
6.7
6
690.5
60.8
684.8
6.3
67.1
6.3
601.6
684.9
606.6
65.9
7's 8's 9's
We found 89 numbers that start with the digit 7. Here they are:
750.0
750.0
706.6
768,441
779.5
715.2
776.4
7.6
7.1
712.5
771.9
770.2
771.9
718.1
716.4
7,965,282
779.5
779.5
779.5
770.2
770.2
771.9
7.2
779.5
779.5
771.9
76.3
7.5
727.5
723.8
7.7
7.6
7.2
781.3
77.2
784.7
70.2
766.0
7.0
72.5
72.5
7.75
70.0
72.0
71.0
721.9
711.0
7.1
7.7
75.3
768,441
750.0
7,965,282
7,000,000
770.2
770.2
7.9
7.9
7.9
7.6
7.6
706.6
706.6
706.6
7.9
7.9
7.9
71.6
7.0
7.0
766.0
766.0
7.0
78.2
73.0
74.2
76.6
76.7
76.3
74.4
7.6
712.5
771.9
70.8
78.5
74.4
77.9
7,612.7
7,809.4
We found 87 numbers that start with the digit 8. Here they are:
80.4
86.2
867.9
852.4
826.1
831.1
825.0
840.0
8.2
83.4
859.8
865.1
8
864.6
865.1
8
895.8
864.6
864.6
865.1
8
86,593
86,593
840.0
84.7
862.2
834.0
862.2
85.1
89.8
881.5
878.2
884.8
881.5
87.7
828.8
87.7
825.0
825.0
87.7
828.8
825.0
87.7
825.0
8.6
8.1
87.4
87.4
8
8
8
82.4
83.0
825.0
85.0
8,217,921
8
864.6
864.6
8.6
8.1
825.0
82.3
825.0
8
859.8
865.1
825.0
86.5
881.5
878.2
851.7
86.8
840.0
825.0
884.8
881.5
836.9
88.7
86.0
8.8
8
88.0
8
80.4
80.9
86.2
We found 39 numbers that start with the digit 9. Here they are:
907.3
97.2
903.3
902.8
935
935
9.6
9.6
9
99.5
96.2
99.1
98.4
9.9
903.9
99.6
923.5
94.7
923.5
94.7
967.5
975.0
9.4
978
9.2
97.2
9
9.0
9.0
9
97.7
9.6
97.2
90.9
903.9
94.2
9.2
92.4
9.0
While the above PENN 10Q Filed 11/6/2025 is interesting in isolation, we have found that it is also useful to take a look at older PENN Entertainment, Inc. filings processed by our Benford's Law Stocks algorithm, to see how the company's filings "typically look" on a Benford's Law analysis. Below we repeat the 10Q Filed 11/6/2025 but instead of the chart comparing against the typical company across our coverage universe, below we show the same chart compared against the typical PENN 10Q and 10K filings that we have processed historically. This is followed by similar charts for each of those historical filings.

30.6
16.2
15.9
9.3
7.1
5.9
6.2
6.1
2.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 92
XBRL?   [ original filing ]
Total numbers found: 1,430

= Typical PENN range from 2/26/2021 to 11/6/2025
29.0
17.6
14.2
11.2
8.3
6.8
5.4
4.5
3.2
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 95
XBRL?   [ original filing ]
Total numbers found: 1,973

= Typical PENN range from 2/26/2021 to 11/6/2025
34.0
15.3
12.4
7.8
9.0
5.5
7.2
5.7
3.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 85
XBRL?   [ original filing ]
Total numbers found: 1,048

= Typical PENN range from 2/26/2021 to 11/6/2025
32.1
16.6
12.8
8.8
8.2
6.7
6.6
5.0
3.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 1,630

= Typical PENN range from 2/26/2021 to 11/6/2025
33.6
18.1
10.9
9.2
7.3
6.5
5.0
5.9
3.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 99
XBRL?   [ original filing ]
Total numbers found: 1,606

= Typical PENN range from 2/26/2021 to 11/6/2025
31.4
16.4
11.6
11.8
8.4
7.0
4.5
5.5
3.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 85
XBRL?   [ original filing ]
Total numbers found: 1,944

= Typical PENN range from 2/26/2021 to 11/6/2025
30.8
19.0
9.9
8.9
9.8
6.7
4.8
5.3
4.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 88
XBRL?   [ original filing ]
Total numbers found: 963

= Typical PENN range from 2/26/2021 to 11/6/2025
33.3
18.6
12.3
8.7
8.8
4.4
5.1
3.7
5.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 74
XBRL?   [ original filing ]
Total numbers found: 1,324

= Typical PENN range from 2/26/2021 to 11/6/2025
32.0
15.2
15.8
9.9
6.6
5.7
6.4
5.6
2.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 81
XBRL?   [ original filing ]
Total numbers found: 1,464

= Typical PENN range from 2/26/2021 to 11/6/2025
31.3
15.9
13.5
11.1
8.3
6.5
5.0
5.1
3.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 98
XBRL?   [ original filing ]
Total numbers found: 2,033

= Typical PENN range from 2/26/2021 to 11/6/2025
32.5
15.1
11.5
8.6
10.4
7.3
5.0
7.3
2.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 66
XBRL?   [ original filing ]
Total numbers found: 1,129

= Typical PENN range from 2/26/2021 to 11/6/2025
32.7
19.3
11.1
8.9
7.8
6.3
5.1
4.8
3.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 1,530

= Typical PENN range from 2/26/2021 to 11/6/2025
31.0
18.2
11.2
9.9
8.0
6.4
4.9
5.9
4.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 99
XBRL?   [ original filing ]
Total numbers found: 1,469

= Typical PENN range from 2/26/2021 to 11/6/2025
31.6
16.7
11.8
10.1
8.0
7.6
4.6
5.5
4.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 97
XBRL?   [ original filing ]
Total numbers found: 1,787

= Typical PENN range from 2/26/2021 to 11/6/2025
33.8
18.0
13.1
8.8
7.7
5.8
6.6
3.9
2.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 96
XBRL?   [ original filing ]
Total numbers found: 896

= Typical PENN range from 2/26/2021 to 11/6/2025
32.9
16.4
13.8
10.1
8.2
5.1
5.3
4.4
3.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 99
XBRL?   [ original filing ]
Total numbers found: 1,481

= Typical PENN range from 2/26/2021 to 11/6/2025
34.2
15.5
11.2
9.5
8.1
6.3
7.1
4.9
3.2
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 95
XBRL?   [ original filing ]
Total numbers found: 1,647

= Typical PENN range from 2/26/2021 to 11/6/2025
32.6
15.8
12.1
9.8
8.9
7.5
4.7
5.0
3.6
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 99
XBRL?   [ original filing ]
Total numbers found: 1,979

= Typical PENN range from 2/26/2021 to 11/6/2025
32.1
16.9
9.8
10.2
10.5
5.8
4.4
5.7
4.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 74
XBRL?   [ original filing ]
Total numbers found: 1,148

= Typical PENN range from 2/26/2021 to 11/6/2025
32.6
21.9
9.5
8.4
7.7
5.6
4.3
5.9
4.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 93
XBRL?   [ original filing ]
Total numbers found: 1,398

= Typical PENN range from 2/26/2021 to 11/6/2025
 

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