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Atlas › Integer Profiles › Node 36,904,672

36,904,672

25 × 7 × 67 × 2459
Abundant Even Composite

36,904,672 factors as 2^5 × 7 × 67 × 2459. Its 48 positive divisors give a proper-divisor sum of 47,404,448, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 67 × 2459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 84,309,120
Proper Divisor Sum 47,404,448
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #36904661 ← → #36904687

Radix Representation

Decimal 36904672
Binary 10001100110001111011100000 (26 bits)
Octal 0o214617340
Hexadecimal 0x2331EE0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1,072 1,876 2,144 2,459 3,752 4,918 7,504 9,836 15,008 17,213 19,672 34,426 39,344 68,852 78,688 137,704 164,753 275,408 329,506 550,816 659,012 1,153,271 1,318,024 2,306,542 2,636,048 4,613,084 5,272,096 9,226,168 18,452,336 36,904,672

Collatz Trajectory (103 steps to reach 1)

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

36,904,672 18,452,336 9,226,168 4,613,084 2,306,542 1,153,271 3,459,814 1,729,907 5,189,722 2,594,861 7,784,584 3,892,292 1,946,146 973,073 2,919,220 1,459,610 729,805 2,189,416 1,094,708 547,354 273,677 821,032 410,516 205,258 102,629 307,888 153,944 76,972 38,486 19,243 57,730 28,865 86,596 43,298 21,649 64,948 32,474 16,237 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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