37,622,650

2 × 5² × 13 × 57881

37,622,650 factors as 2 × 5^2 × 13 × 57881. Its 24 positive divisors give a proper-divisor sum of 37,739,714, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 57881

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 75,362,364

Proper Divisor Sum 37,739,714

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #37622621 ← → #37622653

Radix Representation

Decimal	37622650
Binary	10001111100001001101111010 (26 bits)
Octal	0o217411572
Hexadecimal	0x23E137A

Divisor Catalog (24)

Collatz Trajectory (134 steps to reach 1)

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

37,622,650 18,811,325 56,433,976 28,216,988 14,108,494 7,054,247 21,162,742 10,581,371 31,744,114 15,872,057 47,616,172 23,808,086 11,904,043 35,712,130 17,856,065 53,568,196 26,784,098 13,392,049 40,176,148 20,088,074 10,044,037 30,132,112 15,066,056 7,533,028 3,766,514 1,883,257 5,649,772 2,824,886 1,412,443 4,237,330 2,118,665 6,355,996 3,177,998 1,588,999 4,766,998 2,383,499 7,150,498 3,575,249 10,725,748 5,362,874 2,681,437 8,044,312 4,022,156 2,011,078 1,005,539 3,016,618 1,508,309 4,524,928 2,262,464 1,131,232 565,616 282,808 141,404 70,702 35,351 106,054 53,027 159,082 79,541 238,624

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