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Atlas › Integer Profiles › Node 12,891,712

12,891,712

26 × 173 × 41
Abundant Even Composite

12,891,712 factors as 2^6 × 17^3 × 41. Its 56 positive divisors give a proper-divisor sum of 14,951,768, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^6 × 17^3 × 41
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 27,843,480
Proper Divisor Sum 14,951,768
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #12891653 ← → #12891713

Radix Representation

Decimal 12891712
Binary 110001001011011001000000 (24 bits)
Octal 0o61133100
Hexadecimal 0xC4B640

Divisor Catalog (56)

1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 289 328 544 578 656 697 1,088 1,156 1,312 1,394 2,312 2,624 2,788 4,624 4,913 5,576 9,248 9,826 11,152 11,849 18,496 19,652 22,304 23,698 39,304 44,608 47,396 78,608 94,792 157,216 189,584 201,433 314,432 379,168 402,866 758,336 805,732 1,611,464 3,222,928 6,445,856 12,891,712

Collatz Trajectory (117 steps to reach 1)

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

12,891,712 6,445,856 3,222,928 1,611,464 805,732 402,866 201,433 604,300 302,150 151,075 453,226 226,613 679,840 339,920 169,960 84,980 42,490 21,245 63,736 31,868 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379

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