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Atlas › Integer Profiles › Node 36,912,048

36,912,048

24 × 3 × 71 × 10831
Abundant Even Composite

36,912,048 factors as 2^4 × 3 × 71 × 10831. Its 40 positive divisors give a proper-divisor sum of 59,796,048, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 71 × 10831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 96,708,096
Proper Divisor Sum 59,796,048
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36912019 ← → #36912059

Radix Representation

Decimal 36912048
Binary 10001100110011101110110000 (26 bits)
Octal 0o214635660
Hexadecimal 0x2333BB0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1,136 1,704 3,408 10,831 21,662 32,493 43,324 64,986 86,648 129,972 173,296 259,944 519,888 769,001 1,538,002 2,307,003 3,076,004 4,614,006 6,152,008 9,228,012 12,304,016 18,456,024 36,912,048

Collatz Trajectory (121 steps to reach 1)

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

36,912,048 18,456,024 9,228,012 4,614,006 2,307,003 6,921,010 3,460,505 10,381,516 5,190,758 2,595,379 7,786,138 3,893,069 11,679,208 5,839,604 2,919,802 1,459,901 4,379,704 2,189,852 1,094,926 547,463 1,642,390 821,195 2,463,586 1,231,793 3,695,380 1,847,690 923,845 2,771,536 1,385,768 692,884 346,442 173,221 519,664 259,832 129,916 64,958 32,479 97,438 48,719 146,158 73,079 219,238 109,619 328,858 164,429 493,288 246,644 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022

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