12,133,984

2⁵ × 379187

12,133,984 factors as 2^5 × 379187. Its 12 positive divisors give a proper-divisor sum of 11,754,860, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^5 × 379187

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,888,844

Proper Divisor Sum 11,754,860

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #12133973 ← → #12133997

Radix Representation

Decimal	12133984
Binary	101110010010011001100000 (24 bits)
Octal	0o56223140
Hexadecimal	0xB92660

Divisor Catalog (12)

1 2 4 8 16 32 379,187 758,374 1,516,748 3,033,496 6,066,992 12,133,984

Collatz Trajectory (197 steps to reach 1)

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

12,133,984 6,066,992 3,033,496 1,516,748 758,374 379,187 1,137,562 568,781 1,706,344 853,172 426,586 213,293 639,880 319,940 159,970 79,985 239,956 119,978 59,989 179,968 89,984 44,992 22,496 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092

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