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Atlas › Integer Profiles › Node 13,096,240

13,096,240

24 × 5 × 127 × 1289
Abundant Even Composite

13,096,240 factors as 2^4 × 5 × 127 × 1289. Its 40 positive divisors give a proper-divisor sum of 17,616,080, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 127 × 1289
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 30,712,320
Proper Divisor Sum 17,616,080
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13096219 ← → #13096243

Radix Representation

Decimal 13096240
Binary 110001111101010100110000 (24 bits)
Octal 0o61752460
Hexadecimal 0xC7D530

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 127 254 508 635 1,016 1,270 1,289 2,032 2,540 2,578 5,080 5,156 6,445 10,160 10,312 12,890 20,624 25,780 51,560 103,120 163,703 327,406 654,812 818,515 1,309,624 1,637,030 2,619,248 3,274,060 6,548,120 13,096,240

Collatz Trajectory (104 steps to reach 1)

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

13,096,240 6,548,120 3,274,060 1,637,030 818,515 2,455,546 1,227,773 3,683,320 1,841,660 920,830 460,415 1,381,246 690,623 2,071,870 1,035,935 3,107,806 1,553,903 4,661,710 2,330,855 6,992,566 3,496,283 10,488,850 5,244,425 15,733,276 7,866,638 3,933,319 11,799,958 5,899,979 17,699,938 8,849,969 26,549,908 13,274,954 6,637,477 19,912,432 9,956,216 4,978,108 2,489,054 1,244,527 3,733,582 1,866,791 5,600,374 2,800,187 8,400,562 4,200,281 12,600,844 6,300,422 3,150,211 9,450,634 4,725,317 14,175,952 7,087,976 3,543,988 1,771,994 885,997 2,657,992 1,328,996 664,498 332,249 996,748 498,374

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