12,413,596

2² × 13 × 238723

12,413,596 factors as 2^2 × 13 × 238723. Its 12 positive divisors give a proper-divisor sum of 10,981,356, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 238723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,394,952

Proper Divisor Sum 10,981,356

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #12413579 ← → #12413617

Radix Representation

Decimal	12413596
Binary	101111010110101010011100 (24 bits)
Octal	0o57265234
Hexadecimal	0xBD6A9C

Divisor Catalog (12)

1 2 4 13 26 52 238,723 477,446 954,892 3,103,399 6,206,798 12,413,596

Collatz Trajectory (135 steps to reach 1)

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

12,413,596 6,206,798 3,103,399 9,310,198 4,655,099 13,965,298 6,982,649 20,947,948 10,473,974 5,236,987 15,710,962 7,855,481 23,566,444 11,783,222 5,891,611 17,674,834 8,837,417 26,512,252 13,256,126 6,628,063 19,884,190 9,942,095 29,826,286 14,913,143 44,739,430 22,369,715 67,109,146 33,554,573 100,663,720 50,331,860 25,165,930 12,582,965 37,748,896 18,874,448 9,437,224 4,718,612 2,359,306 1,179,653 3,538,960 1,769,480 884,740 442,370 221,185 663,556 331,778 165,889 497,668 248,834 124,417 373,252 186,626 93,313 279,940 139,970 69,985 209,956 104,978 52,489 157,468 78,734

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