25,972,288

2⁶ × 405817

25,972,288 factors as 2^6 × 405817. Its 14 positive divisors give a proper-divisor sum of 25,566,598, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^6 × 405817

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 51,538,886

Proper Divisor Sum 25,566,598

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #25972273 ← → #25972291

Radix Representation

Decimal	25972288
Binary	1100011000100111001000000 (25 bits)
Octal	0o143047100
Hexadecimal	0x18C4E40

Divisor Catalog (14)

1 2 4 8 16 32 64 405,817 811,634 1,623,268 3,246,536 6,493,072 12,986,144 25,972,288

Collatz Trajectory (149 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

25,972,288 12,986,144 6,493,072 3,246,536 1,623,268 811,634 405,817 1,217,452 608,726 304,363 913,090 456,545 1,369,636 684,818 342,409 1,027,228 513,614 256,807 770,422 385,211 1,155,634 577,817 1,733,452 866,726 433,363 1,300,090 650,045 1,950,136 975,068 487,534 243,767 731,302 365,651 1,096,954 548,477 1,645,432 822,716 411,358 205,679 617,038 308,519 925,558 462,779 1,388,338 694,169 2,082,508 1,041,254 520,627 1,561,882 780,941 2,342,824 1,171,412 585,706 292,853 878,560 439,280 219,640 109,820 54,910 27,455

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