37,620,690

2 × 3 × 5 × 1254023

37,620,690 factors as 2 × 3 × 5 × 1254023. Its 16 positive divisors give a proper-divisor sum of 52,669,038, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 1254023

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 90,289,728

Proper Divisor Sum 52,669,038

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #37620689 ← → #37620707

Radix Representation

Decimal	37620690
Binary	10001111100000101111010010 (26 bits)
Octal	0o217405722
Hexadecimal	0x23E0BD2

Divisor Catalog (16)

1 2 3 5 6 10 15 30 1,254,023 2,508,046 3,762,069 6,270,115 7,524,138 12,540,230 18,810,345 37,620,690

Collatz Trajectory (134 steps to reach 1)

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

37,620,690 18,810,345 56,431,036 28,215,518 14,107,759 42,323,278 21,161,639 63,484,918 31,742,459 95,227,378 47,613,689 142,841,068 71,420,534 35,710,267 107,130,802 53,565,401 160,696,204 80,348,102 40,174,051 120,522,154 60,261,077 180,783,232 90,391,616 45,195,808 22,597,904 11,298,952 5,649,476 2,824,738 1,412,369 4,237,108 2,118,554 1,059,277 3,177,832 1,588,916 794,458 397,229 1,191,688 595,844 297,922 148,961 446,884 223,442 111,721 335,164 167,582 83,791 251,374 125,687 377,062 188,531 565,594 282,797 848,392 424,196 212,098 106,049 318,148 159,074 79,537 238,612

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