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12,980,464

24 × 7 × 23 × 5039
Abundant Even Composite

12,980,464 factors as 2^4 × 7 × 23 × 5039. Its 40 positive divisors give a proper-divisor sum of 17,017,616, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 23 × 5039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 29,998,080
Proper Divisor Sum 17,017,616
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #12980459 ← → #12980467

Radix Representation

Decimal 12980464
Binary 110001100001000011110000 (24 bits)
Octal 0o61410360
Hexadecimal 0xC610F0

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 5,039 10,078 20,156 35,273 40,312 70,546 80,624 115,897 141,092 231,794 282,184 463,588 564,368 811,279 927,176 1,622,558 1,854,352 3,245,116 6,490,232 12,980,464

Collatz Trajectory (166 steps to reach 1)

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

12,980,464 6,490,232 3,245,116 1,622,558 811,279 2,433,838 1,216,919 3,650,758 1,825,379 5,476,138 2,738,069 8,214,208 4,107,104 2,053,552 1,026,776 513,388 256,694 128,347 385,042 192,521 577,564 288,782 144,391 433,174 216,587 649,762 324,881 974,644 487,322 243,661 730,984 365,492 182,746 91,373 274,120 137,060 68,530 34,265 102,796 51,398 25,699 77,098 38,549 115,648 57,824 28,912 14,456 7,228 3,614 1,807 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288

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