37,536,524

2² × 9384131

37,536,524 factors as 2^2 × 9384131. Its 6 positive divisors give a proper-divisor sum of 28,152,400, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 9384131

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 65,688,924

Proper Divisor Sum 28,152,400

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #37536511 ← → #37536553

Radix Representation

Decimal	37536524
Binary	10001111001100001100001100 (26 bits)
Octal	0o217141414
Hexadecimal	0x23CC30C

Divisor Catalog (6)

1 2 4 9,384,131 18,768,262 37,536,524

Collatz Trajectory (134 steps to reach 1)

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

37,536,524 18,768,262 9,384,131 28,152,394 14,076,197 42,228,592 21,114,296 10,557,148 5,278,574 2,639,287 7,917,862 3,958,931 11,876,794 5,938,397 17,815,192 8,907,596 4,453,798 2,226,899 6,680,698 3,340,349 10,021,048 5,010,524 2,505,262 1,252,631 3,757,894 1,878,947 5,636,842 2,818,421 8,455,264 4,227,632 2,113,816 1,056,908 528,454 264,227 792,682 396,341 1,189,024 594,512 297,256 148,628 74,314 37,157 111,472 55,736 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688

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