λ
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Atlas › Integer Profiles › Node 36,907,104

36,907,104

25 × 3 × 13 × 29573
Abundant Even Composite

36,907,104 factors as 2^5 × 3 × 13 × 29573. Its 48 positive divisors give a proper-divisor sum of 67,429,968, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 29573
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 104,337,072
Proper Divisor Sum 67,429,968
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36907103 ← → #36907109

Radix Representation

Decimal 36907104
Binary 10001100110010100001100000 (26 bits)
Octal 0o214624140
Hexadecimal 0x2332860

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1,248 29,573 59,146 88,719 118,292 177,438 236,584 354,876 384,449 473,168 709,752 768,898 946,336 1,153,347 1,419,504 1,537,796 2,306,694 2,839,008 3,075,592 4,613,388 6,151,184 9,226,776 12,302,368 18,453,552 36,907,104

Collatz Trajectory (103 steps to reach 1)

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

36,907,104 18,453,552 9,226,776 4,613,388 2,306,694 1,153,347 3,460,042 1,730,021 5,190,064 2,595,032 1,297,516 648,758 324,379 973,138 486,569 1,459,708 729,854 364,927 1,094,782 547,391 1,642,174 821,087 2,463,262 1,231,631 3,694,894 1,847,447 5,542,342 2,771,171 8,313,514 4,156,757 12,470,272 6,235,136 3,117,568 1,558,784 779,392 389,696 194,848 97,424 48,712 24,356 12,178 6,089 18,268 9,134 4,567 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506

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