12,742,760

2³ × 5 × 318569

12,742,760 factors as 2^3 × 5 × 318569. Its 16 positive divisors give a proper-divisor sum of 15,928,540, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 318569

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 28,671,300

Proper Divisor Sum 15,928,540

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #12742747 ← → #12742771

Radix Representation

Decimal	12742760
Binary	110000100111000001101000 (24 bits)
Octal	0o60470150
Hexadecimal	0xC27068

Divisor Catalog (16)

1 2 4 5 8 10 20 40 318,569 637,138 1,274,276 1,592,845 2,548,552 3,185,690 6,371,380 12,742,760

Collatz Trajectory (104 steps to reach 1)

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

12,742,760 6,371,380 3,185,690 1,592,845 4,778,536 2,389,268 1,194,634 597,317 1,791,952 895,976 447,988 223,994 111,997 335,992 167,996 83,998 41,999 125,998 62,999 188,998 94,499 283,498 141,749 425,248 212,624 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837

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