12,836,740

2² × 5 × 7 × 91691

12,836,740 factors as 2^2 × 5 × 7 × 91691. Its 24 positive divisors give a proper-divisor sum of 17,971,772, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 91691

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 30,808,512

Proper Divisor Sum 17,971,772

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #12836713 ← → #12836741

Radix Representation

Decimal	12836740
Binary	110000111101111110000100 (24 bits)
Octal	0o60757604
Hexadecimal	0xC3DF84

Divisor Catalog (24)

Collatz Trajectory (148 steps to reach 1)

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

12,836,740 6,418,370 3,209,185 9,627,556 4,813,778 2,406,889 7,220,668 3,610,334 1,805,167 5,415,502 2,707,751 8,123,254 4,061,627 12,184,882 6,092,441 18,277,324 9,138,662 4,569,331 13,707,994 6,853,997 20,561,992 10,280,996 5,140,498 2,570,249 7,710,748 3,855,374 1,927,687 5,783,062 2,891,531 8,674,594 4,337,297 13,011,892 6,505,946 3,252,973 9,758,920 4,879,460 2,439,730 1,219,865 3,659,596 1,829,798 914,899 2,744,698 1,372,349 4,117,048 2,058,524 1,029,262 514,631 1,543,894 771,947 2,315,842 1,157,921 3,473,764 1,736,882 868,441 2,605,324 1,302,662 651,331 1,953,994 976,997 2,930,992

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