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Atlas › Integer Profiles › Node 37,490,992

37,490,992

24 × 7 × 11 × 30431
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 30431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 90,565,632
Proper Divisor Sum 53,074,640
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #37490987 ← → #37491011

Radix Representation

Decimal 37490992
Binary 10001111000001000100110000 (26 bits)
Octal 0o217010460
Hexadecimal 0x23C1130

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,232 30,431 60,862 121,724 213,017 243,448 334,741 426,034 486,896 669,482 852,068 1,338,964 1,704,136 2,343,187 2,677,928 3,408,272 4,686,374 5,355,856 9,372,748 18,745,496 37,490,992

Collatz Trajectory (134 steps to reach 1)

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

37,490,992 18,745,496 9,372,748 4,686,374 2,343,187 7,029,562 3,514,781 10,544,344 5,272,172 2,636,086 1,318,043 3,954,130 1,977,065 5,931,196 2,965,598 1,482,799 4,448,398 2,224,199 6,672,598 3,336,299 10,008,898 5,004,449 15,013,348 7,506,674 3,753,337 11,260,012 5,630,006 2,815,003 8,445,010 4,222,505 12,667,516 6,333,758 3,166,879 9,500,638 4,750,319 14,250,958 7,125,479 21,376,438 10,688,219 32,064,658 16,032,329 48,096,988 24,048,494 12,024,247 36,072,742 18,036,371 54,109,114 27,054,557 81,163,672 40,581,836 20,290,918 10,145,459 30,436,378 15,218,189 45,654,568 22,827,284 11,413,642 5,706,821 17,120,464 8,560,232

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