λ
Ratio Atlas

37,587,698

2 × 331 × 56779
Deficient Even Composite

37,587,698 factors as 2 × 331 × 56779. Its 8 positive divisors give a proper-divisor sum of 18,965,182, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2 × 331 × 56779
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 56,552,880
Proper Divisor Sum 18,965,182
Digit Sum / Digital Root 53 (Root: 8)
Adjacent Primes #37587691 ← → #37587701

Radix Representation

Decimal 37587698
Binary 10001111011000101011110010 (26 bits)
Octal 0o217305362
Hexadecimal 0x23D8AF2

Divisor Catalog (8)

Collatz Trajectory (227 steps to reach 1)

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

37,587,698 18,793,849 56,381,548 28,190,774 14,095,387 42,286,162 21,143,081 63,429,244 31,714,622 15,857,311 47,571,934 23,785,967 71,357,902 35,678,951 107,036,854 53,518,427 160,555,282 80,277,641 240,832,924 120,416,462 60,208,231 180,624,694 90,312,347 270,937,042 135,468,521 406,405,564 203,202,782 101,601,391 304,804,174 152,402,087 457,206,262 228,603,131 685,809,394 342,904,697 1,028,714,092 514,357,046 257,178,523 771,535,570 385,767,785 1,157,303,356 578,651,678 289,325,839 867,977,518 433,988,759 1,301,966,278 650,983,139 1,952,949,418 976,474,709 2,929,424,128 1,464,712,064 732,356,032 366,178,016 183,089,008 91,544,504 45,772,252 22,886,126 11,443,063 34,329,190 17,164,595 51,493,786

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