12,626,684

2² × 7 × 97 × 4649

12,626,684 factors as 2^2 × 7 × 97 × 4649. Its 24 positive divisors give a proper-divisor sum of 12,892,516, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 97 × 4649

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 25,519,200

Proper Divisor Sum 12,892,516

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #12626683 ← → #12626689

Radix Representation

Decimal	12626684
Binary	110000001010101011111100 (24 bits)
Octal	0o60125374
Hexadecimal	0xC0AAFC

Divisor Catalog (24)

Collatz Trajectory (91 steps to reach 1)

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

12,626,684 6,313,342 3,156,671 9,470,014 4,735,007 14,205,022 7,102,511 21,307,534 10,653,767 31,961,302 15,980,651 47,941,954 23,970,977 71,912,932 35,956,466 17,978,233 53,934,700 26,967,350 13,483,675 40,451,026 20,225,513 60,676,540 30,338,270 15,169,135 45,507,406 22,753,703 68,261,110 34,130,555 102,391,666 51,195,833 153,587,500 76,793,750 38,396,875 115,190,626 57,595,313 172,785,940 86,392,970 43,196,485 129,589,456 64,794,728 32,397,364 16,198,682 8,099,341 24,298,024 12,149,012 6,074,506 3,037,253 9,111,760 4,555,880 2,277,940 1,138,970 569,485 1,708,456 854,228 427,114 213,557 640,672 320,336 160,168 80,084

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