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Atlas › Integer Profiles › Node 12,547,696

12,547,696

24 × 7 × 23 × 4871
Abundant Even Composite

12,547,696 factors as 2^4 × 7 × 23 × 4871. Its 40 positive divisors give a proper-divisor sum of 16,450,448, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 23 × 4871
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 28,998,144
Proper Divisor Sum 16,450,448
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #12547687 ← → #12547729

Radix Representation

Decimal 12547696
Binary 101111110111011001110000 (24 bits)
Octal 0o57673160
Hexadecimal 0xBF7670

Divisor Catalog (40)

1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1,288 2,576 4,871 9,742 19,484 34,097 38,968 68,194 77,936 112,033 136,388 224,066 272,776 448,132 545,552 784,231 896,264 1,568,462 1,792,528 3,136,924 6,273,848 12,547,696

Collatz Trajectory (135 steps to reach 1)

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

12,547,696 6,273,848 3,136,924 1,568,462 784,231 2,352,694 1,176,347 3,529,042 1,764,521 5,293,564 2,646,782 1,323,391 3,970,174 1,985,087 5,955,262 2,977,631 8,932,894 4,466,447 13,399,342 6,699,671 20,099,014 10,049,507 30,148,522 15,074,261 45,222,784 22,611,392 11,305,696 5,652,848 2,826,424 1,413,212 706,606 353,303 1,059,910 529,955 1,589,866 794,933 2,384,800 1,192,400 596,200 298,100 149,050 74,525 223,576 111,788 55,894 27,947 83,842 41,921 125,764 62,882 31,441 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530 13,265

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