2,598,960
There are 2,598,960 possible five-card poker hands.
- Even
- Composite
Where 2,598,960 fits
Why 2,598,960 is special
Every probability quoted in poker comes from this denominator. Four of them are royal flushes, which is where the roughly one-in-650,000 figure comes from — and why the hand rankings are ordered as they are, since the ranking is simply rarity.
2,598,960 is part of
Factors & digit properties
- Divisors (240)
- 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 17, 20, 21, 24, 26, 28, 30, 34, 35, 39, 40, 42, 48, 49, 51, 52, 56, 60, 65, 68, 70, 78, 80, 84, 85, 91, 98, 102, 104, 105, 112, 119, 120, 130, 136, 140, 147, 156, 168, 170, 182, 195, 196, 204, 208, 210, 221, 238, 240, 245, 255, 260, 272, 273, 280, 294, 312, 336, 340, 357, 364, 390, 392, 408, 420, 442, 455, 476, 490, 510, 520, 546, 560, 588, 595, 624, 637, 663, 680, 714, 728, 735, 780, 784, 816, 833, 840, 884, 910, 952, 980, 1020, 1040, 1092, 1105, 1176, 1190, 1274, 1326, 1360, 1365, 1428, 1456, 1470, 1547, 1560, 1666, 1680, 1768, 1785, 1820, 1904, 1911, 1960, 2040, 2184, 2210, 2352, 2380, 2499, 2548, 2652, 2730, 2856, 2940, 3094, 3120, 3185, 3315, 3332, 3536, 3570, 3640, 3822, 3920, 4080, 4165, 4368, 4420, 4641, 4760, 4998, 5096, 5304, 5460, 5712, 5880, 6188, 6370, 6630, 6664, 7140, 7280, 7644, 7735, 8330, 8840, 9282, 9520, 9555, 9996, 10192, 10608, 10829, 10920, 11760, 12376, 12495, 12740, 13260, 13328, 14280, 15288, 15470, 16660, 17680, 18564, 19110, 19992, 21658, 21840, 23205, 24752, 24990, 25480, 26520, 28560, 30576, 30940, 32487, 33320, 37128, 38220, 39984, 43316, 46410, 49980, 50960, 53040, 54145, 61880, 64974, 66640, 74256, 76440, 86632, 92820, 99960, 108290, 123760, 129948, 152880, 162435, 173264, 185640, 199920, 216580, 259896, 324870, 371280, 433160, 519792, 649740, 866320, 1299480, 2598960
- Prime factorisation
- 2^4 × 3 × 5 × 7^2 × 13 × 17
- Digit sum
- 39
- Digital root
- 3
Representations
- Decimal
- 2598960
- Binary
- 1001111010100000110000
- Octal
- 11724060
- Hexadecimal
- 27a830
- Scientific notation
- 2.599 × 10^6
Other mathematical patterns
- Abundant number
- Happy number
- Harshad (Niven) number
Related numbers & connections
2,598,960 is the number of five-card hands from a 52-card deck, and every probability quoted in poker uses it as the denominator.
View 52 →Other connections
- is associated with52
why?
Strength 0.50, confidence "high".
Media & popular culture
Every probability quoted in five-card poker has 2,598,960 as its denominator. Exactly four of those hands are royal flushes, which is the source of the roughly one-in-650,000 figure, and the hand rankings are simply rarity put in order.
DocumentedMedia & popular culture
Common questions
Is 2,598,960 a prime number?
No, 2,598,960 is not prime.
What are the factors of 2,598,960?
The factors of 2,598,960 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 17, 20, 21, 24, 26, 28, 30, 34, 35, 39, 40, 42, 48, 49, 51, 52, 56, 60, 65, 68, 70, 78, 80, 84, 85, 91, 98, 102, 104, 105, 112, 119, 120, 130, 136, 140, 147, 156, 168, 170, 182, 195, 196, 204, 208, 210, 221, 238, 240, 245, 255, 260, 272, 273, 280, 294, 312, 336, 340, 357, 364, 390, 392, 408, 420, 442, 455, 476, 490, 510, 520, 546, 560, 588, 595, 624, 637, 663, 680, 714, 728, 735, 780, 784, 816, 833, 840, 884, 910, 952, 980, 1020, 1040, 1092, 1105, 1176, 1190, 1274, 1326, 1360, 1365, 1428, 1456, 1470, 1547, 1560, 1666, 1680, 1768, 1785, 1820, 1904, 1911, 1960, 2040, 2184, 2210, 2352, 2380, 2499, 2548, 2652, 2730, 2856, 2940, 3094, 3120, 3185, 3315, 3332, 3536, 3570, 3640, 3822, 3920, 4080, 4165, 4368, 4420, 4641, 4760, 4998, 5096, 5304, 5460, 5712, 5880, 6188, 6370, 6630, 6664, 7140, 7280, 7644, 7735, 8330, 8840, 9282, 9520, 9555, 9996, 10192, 10608, 10829, 10920, 11760, 12376, 12495, 12740, 13260, 13328, 14280, 15288, 15470, 16660, 17680, 18564, 19110, 19992, 21658, 21840, 23205, 24752, 24990, 25480, 26520, 28560, 30576, 30940, 32487, 33320, 37128, 38220, 39984, 43316, 46410, 49980, 50960, 53040, 54145, 61880, 64974, 66640, 74256, 76440, 86632, 92820, 99960, 108290, 123760, 129948, 152880, 162435, 173264, 185640, 199920, 216580, 259896, 324870, 371280, 433160, 519792, 649740, 866320, 1299480, 2598960.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 3 August 2026