25,311,742

2 × 17 × 197 × 3779

25,311,742 factors as 2 × 17 × 197 × 3779. Its 16 positive divisors give a proper-divisor sum of 15,104,018, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 17 × 197 × 3779

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 40,415,760

Proper Divisor Sum 15,104,018

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #25311739 ← → #25311749

Radix Representation

Decimal	25311742
Binary	1100000100011100111111110 (25 bits)
Octal	0o140434776
Hexadecimal	0x18239FE

Divisor Catalog (16)

1 2 17 34 197 394 3,349 3,779 6,698 7,558 64,243 128,486 744,463 1,488,926 12,655,871 25,311,742

Collatz Trajectory (110 steps to reach 1)

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

25,311,742 12,655,871 37,967,614 18,983,807 56,951,422 28,475,711 85,427,134 42,713,567 128,140,702 64,070,351 192,211,054 96,105,527 288,316,582 144,158,291 432,474,874 216,237,437 648,712,312 324,356,156 162,178,078 81,089,039 243,267,118 121,633,559 364,900,678 182,450,339 547,351,018 273,675,509 821,026,528 410,513,264 205,256,632 102,628,316 51,314,158 25,657,079 76,971,238 38,485,619 115,456,858 57,728,429 173,185,288 86,592,644 43,296,322 21,648,161 64,944,484 32,472,242 16,236,121 48,708,364 24,354,182 12,177,091 36,531,274 18,265,637 54,796,912 27,398,456 13,699,228 6,849,614 3,424,807 10,274,422 5,137,211 15,411,634 7,705,817 23,117,452 11,558,726 5,779,363

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