37,032,268

2² × 7 × 13 × 101737

37,032,268 factors as 2^2 × 7 × 13 × 101737. Its 24 positive divisors give a proper-divisor sum of 42,730,324, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 101737

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 79,762,592

Proper Divisor Sum 42,730,324

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #37032263 ← → #37032269

Radix Representation

Decimal	37032268
Binary	10001101010001000101001100 (26 bits)
Octal	0o215210514
Hexadecimal	0x235114C

Divisor Catalog (24)

Collatz Trajectory (77 steps to reach 1)

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

37,032,268 18,516,134 9,258,067 27,774,202 13,887,101 41,661,304 20,830,652 10,415,326 5,207,663 15,622,990 7,811,495 23,434,486 11,717,243 35,151,730 17,575,865 52,727,596 26,363,798 13,181,899 39,545,698 19,772,849 59,318,548 29,659,274 14,829,637 44,488,912 22,244,456 11,122,228 5,561,114 2,780,557 8,341,672 4,170,836 2,085,418 1,042,709 3,128,128 1,564,064 782,032 391,016 195,508 97,754 48,877 146,632 73,316 36,658 18,329 54,988 27,494 13,747 41,242 20,621 61,864 30,932 15,466 7,733 23,200 11,600 5,800 2,900 1,450 725 2,176 1,088

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