12,936,724

2² × 79 × 40939

12,936,724 factors as 2^2 × 79 × 40939. Its 12 positive divisors give a proper-divisor sum of 9,989,676, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 79 × 40939

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,926,400

Proper Divisor Sum 9,989,676

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #12936713 ← → #12936733

Radix Representation

Decimal	12936724
Binary	110001010110011000010100 (24 bits)
Octal	0o61263024
Hexadecimal	0xC56614

Divisor Catalog (12)

1 2 4 79 158 316 40,939 81,878 163,756 3,234,181 6,468,362 12,936,724

Collatz Trajectory (73 steps to reach 1)

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

12,936,724 6,468,362 3,234,181 9,702,544 4,851,272 2,425,636 1,212,818 606,409 1,819,228 909,614 454,807 1,364,422 682,211 2,046,634 1,023,317 3,069,952 1,534,976 767,488 383,744 191,872 95,936 47,968 23,984 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11

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