37,239,688

2³ × 739 × 6299

37,239,688 factors as 2^3 × 739 × 6299. Its 16 positive divisors give a proper-divisor sum of 32,690,312, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 739 × 6299

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 69,930,000

Proper Divisor Sum 32,690,312

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #37239641 ← → #37239689

Radix Representation

Decimal	37239688
Binary	10001110000011101110001000 (26 bits)
Octal	0o216035610
Hexadecimal	0x2383B88

Divisor Catalog (16)

1 2 4 8 739 1,478 2,956 5,912 6,299 12,598 25,196 50,392 4,654,961 9,309,922 18,619,844 37,239,688

Collatz Trajectory (152 steps to reach 1)

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

37,239,688 18,619,844 9,309,922 4,654,961 13,964,884 6,982,442 3,491,221 10,473,664 5,236,832 2,618,416 1,309,208 654,604 327,302 163,651 490,954 245,477 736,432 368,216 184,108 92,054 46,027 138,082 69,041 207,124 103,562 51,781 155,344 77,672 38,836 19,418 9,709 29,128 14,564 7,282 3,641 10,924 5,462 2,731 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096

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