λ
Ratio Atlas

37,644,527

79 × 476513
Deficient Odd Composite

37,644,527 factors as 79 × 476513. Its 4 positive divisors give a proper-divisor sum of 476,593, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 79 × 476513
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 38,121,120
Proper Divisor Sum 476,593
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #37644521 ← → #37644547

Radix Representation

Decimal 37644527
Binary 10001111100110100011101111 (26 bits)
Octal 0o217464357
Hexadecimal 0x23E68EF

Divisor Catalog (4)

Collatz Trajectory (134 steps to reach 1)

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

37,644,527 112,933,582 56,466,791 169,400,374 84,700,187 254,100,562 127,050,281 381,150,844 190,575,422 95,287,711 285,863,134 142,931,567 428,794,702 214,397,351 643,192,054 321,596,027 964,788,082 482,394,041 1,447,182,124 723,591,062 361,795,531 1,085,386,594 542,693,297 1,628,079,892 814,039,946 407,019,973 1,221,059,920 610,529,960 305,264,980 152,632,490 76,316,245 228,948,736 114,474,368 57,237,184 28,618,592 14,309,296 7,154,648 3,577,324 1,788,662 894,331 2,682,994 1,341,497 4,024,492 2,012,246 1,006,123 3,018,370 1,509,185 4,527,556 2,263,778 1,131,889 3,395,668 1,697,834 848,917 2,546,752 1,273,376 636,688 318,344 159,172 79,586 39,793

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