37,387,084

2² × 7 × 107 × 12479

37,387,084 factors as 2^2 × 7 × 107 × 12479. Its 24 positive divisors give a proper-divisor sum of 38,091,956, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 107 × 12479

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 75,479,040

Proper Divisor Sum 38,091,956

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #37387037 ← → #37387087

Radix Representation

Decimal	37387084
Binary	10001110100111101101001100 (26 bits)
Octal	0o216475514
Hexadecimal	0x23A7B4C

Divisor Catalog (24)

Collatz Trajectory (227 steps to reach 1)

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

37,387,084 18,693,542 9,346,771 28,040,314 14,020,157 42,060,472 21,030,236 10,515,118 5,257,559 15,772,678 7,886,339 23,659,018 11,829,509 35,488,528 17,744,264 8,872,132 4,436,066 2,218,033 6,654,100 3,327,050 1,663,525 4,990,576 2,495,288 1,247,644 623,822 311,911 935,734 467,867 1,403,602 701,801 2,105,404 1,052,702 526,351 1,579,054 789,527 2,368,582 1,184,291 3,552,874 1,776,437 5,329,312 2,664,656 1,332,328 666,164 333,082 166,541 499,624 249,812 124,906 62,453 187,360 93,680 46,840 23,420 11,710 5,855 17,566 8,783 26,350 13,175 39,526

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