31,896,956

2² × 7 × 13 × 87629

31,896,956 factors as 2^2 × 7 × 13 × 87629. Its 24 positive divisors give a proper-divisor sum of 36,804,964, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 87629

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 68,701,920

Proper Divisor Sum 36,804,964

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #31896919 ← → #31896959

Radix Representation

Decimal	31896956
Binary	1111001101011010101111100 (25 bits)
Octal	0o171532574
Hexadecimal	0x1E6B57C

Divisor Catalog (24)

Collatz Trajectory (126 steps to reach 1)

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

31,896,956 15,948,478 7,974,239 23,922,718 11,961,359 35,884,078 17,942,039 53,826,118 26,913,059 80,739,178 40,369,589 121,108,768 60,554,384 30,277,192 15,138,596 7,569,298 3,784,649 11,353,948 5,676,974 2,838,487 8,515,462 4,257,731 12,773,194 6,386,597 19,159,792 9,579,896 4,789,948 2,394,974 1,197,487 3,592,462 1,796,231 5,388,694 2,694,347 8,083,042 4,041,521 12,124,564 6,062,282 3,031,141 9,093,424 4,546,712 2,273,356 1,136,678 568,339 1,705,018 852,509 2,557,528 1,278,764 639,382 319,691 959,074 479,537 1,438,612 719,306 359,653 1,078,960 539,480 269,740 134,870 67,435 202,306

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