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Atlas › Integer Profiles › Node 31,575,412

31,575,412

22 × 11 × 23 × 41 × 761
Abundant Even Composite

31,575,412 factors as 2^2 × 11 × 23 × 41 × 761. Its 48 positive divisors give a proper-divisor sum of 32,944,652, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 41 × 761
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 64,520,064
Proper Divisor Sum 32,944,652
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #31575407 ← → #31575433

Radix Representation

Decimal 31575412
Binary 1111000011100110101110100 (25 bits)
Octal 0o170346564
Hexadecimal 0x1E1CD74

Divisor Catalog (48)

1 2 4 11 22 23 41 44 46 82 92 164 253 451 506 761 902 943 1,012 1,522 1,804 1,886 3,044 3,772 8,371 10,373 16,742 17,503 20,746 31,201 33,484 35,006 41,492 62,402 70,012 124,804 192,533 343,211 385,066 686,422 717,623 770,132 1,372,844 1,435,246 2,870,492 7,893,853 15,787,706 31,575,412

Collatz Trajectory (175 steps to reach 1)

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

31,575,412 15,787,706 7,893,853 23,681,560 11,840,780 5,920,390 2,960,195 8,880,586 4,440,293 13,320,880 6,660,440 3,330,220 1,665,110 832,555 2,497,666 1,248,833 3,746,500 1,873,250 936,625 2,809,876 1,404,938 702,469 2,107,408 1,053,704 526,852 263,426 131,713 395,140 197,570 98,785 296,356 148,178 74,089 222,268 111,134 55,567 166,702 83,351 250,054 125,027 375,082 187,541 562,624 281,312 140,656 70,328 35,164 17,582 8,791 26,374 13,187 39,562 19,781 59,344 29,672 14,836 7,418 3,709 11,128 5,564

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