31,966,508

2² × 7 × 1141661

31,966,508 factors as 2^2 × 7 × 1141661. Its 12 positive divisors give a proper-divisor sum of 31,966,564, so this integer is abundant. The Collatz stopping time is 338 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 1141661

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 63,933,072

Proper Divisor Sum 31,966,564

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #31966507 ← → #31966513

Radix Representation

Decimal	31966508
Binary	1111001111100010100101100 (25 bits)
Octal	0o171742454
Hexadecimal	0x1E7C52C

Divisor Catalog (12)

1 2 4 7 14 28 1,141,661 2,283,322 4,566,644 7,991,627 15,983,254 31,966,508

Collatz Trajectory (338 steps to reach 1)

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

31,966,508 15,983,254 7,991,627 23,974,882 11,987,441 35,962,324 17,981,162 8,990,581 26,971,744 13,485,872 6,742,936 3,371,468 1,685,734 842,867 2,528,602 1,264,301 3,792,904 1,896,452 948,226 474,113 1,422,340 711,170 355,585 1,066,756 533,378 266,689 800,068 400,034 200,017 600,052 300,026 150,013 450,040 225,020 112,510 56,255 168,766 84,383 253,150 126,575 379,726 189,863 569,590 284,795 854,386 427,193 1,281,580 640,790 320,395 961,186 480,593 1,441,780 720,890 360,445 1,081,336 540,668 270,334 135,167 405,502 202,751

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