36,970,760

2³ × 5 × 924269

36,970,760 factors as 2^3 × 5 × 924269. Its 16 positive divisors give a proper-divisor sum of 46,213,540, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 924269

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 83,184,300

Proper Divisor Sum 46,213,540

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #36970753 ← → #36970763

Radix Representation

Decimal	36970760
Binary	10001101000010000100001000 (26 bits)
Octal	0o215020410
Hexadecimal	0x2342108

Divisor Catalog (16)

1 2 4 5 8 10 20 40 924,269 1,848,538 3,697,076 4,621,345 7,394,152 9,242,690 18,485,380 36,970,760

Collatz Trajectory (165 steps to reach 1)

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

36,970,760 18,485,380 9,242,690 4,621,345 13,864,036 6,932,018 3,466,009 10,398,028 5,199,014 2,599,507 7,798,522 3,899,261 11,697,784 5,848,892 2,924,446 1,462,223 4,386,670 2,193,335 6,580,006 3,290,003 9,870,010 4,935,005 14,805,016 7,402,508 3,701,254 1,850,627 5,551,882 2,775,941 8,327,824 4,163,912 2,081,956 1,040,978 520,489 1,561,468 780,734 390,367 1,171,102 585,551 1,756,654 878,327 2,634,982 1,317,491 3,952,474 1,976,237 5,928,712 2,964,356 1,482,178 741,089 2,223,268 1,111,634 555,817 1,667,452 833,726 416,863 1,250,590 625,295 1,875,886 937,943 2,813,830 1,406,915

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