37,513,906

2 × 31 × 643 × 941

37,513,906 factors as 2 × 31 × 643 × 941. Its 16 positive divisors give a proper-divisor sum of 20,724,302, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 31 × 643 × 941

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 58,238,208

Proper Divisor Sum 20,724,302

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #37513871 ← → #37513913

Radix Representation

Decimal	37513906
Binary	10001111000110101010110010 (26 bits)
Octal	0o217065262
Hexadecimal	0x23C6AB2

Divisor Catalog (16)

1 2 31 62 643 941 1,286 1,882 19,933 29,171 39,866 58,342 605,063 1,210,126 18,756,953 37,513,906

Collatz Trajectory (108 steps to reach 1)

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

37,513,906 18,756,953 56,270,860 28,135,430 14,067,715 42,203,146 21,101,573 63,304,720 31,652,360 15,826,180 7,913,090 3,956,545 11,869,636 5,934,818 2,967,409 8,902,228 4,451,114 2,225,557 6,676,672 3,338,336 1,669,168 834,584 417,292 208,646 104,323 312,970 156,485 469,456 234,728 117,364 58,682 29,341 88,024 44,012 22,006 11,003 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976

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