31,617,965

5 × 107 × 113 × 523

31,617,965 factors as 5 × 107 × 113 × 523. Its 16 positive divisors give a proper-divisor sum of 7,090,963, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 5 × 107 × 113 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 38,708,928

Proper Divisor Sum 7,090,963

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #31617961 ← → #31617967

Radix Representation

Decimal	31617965
Binary	1111000100111001110101101 (25 bits)
Octal	0o170471655
Hexadecimal	0x1E273AD

Divisor Catalog (16)

1 5 107 113 523 535 565 2,615 12,091 55,961 59,099 60,455 279,805 295,495 6,323,593 31,617,965

Collatz Trajectory (201 steps to reach 1)

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

31,617,965 94,853,896 47,426,948 23,713,474 11,856,737 35,570,212 17,785,106 8,892,553 26,677,660 13,338,830 6,669,415 20,008,246 10,004,123 30,012,370 15,006,185 45,018,556 22,509,278 11,254,639 33,763,918 16,881,959 50,645,878 25,322,939 75,968,818 37,984,409 113,953,228 56,976,614 28,488,307 85,464,922 42,732,461 128,197,384 64,098,692 32,049,346 16,024,673 48,074,020 24,037,010 12,018,505 36,055,516 18,027,758 9,013,879 27,041,638 13,520,819 40,562,458 20,281,229 60,843,688 30,421,844 15,210,922 7,605,461 22,816,384 11,408,192 5,704,096 2,852,048 1,426,024 713,012 356,506 178,253 534,760 267,380 133,690 66,845 200,536

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