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Atlas › Integer Profiles › Node 13,313,860

13,313,860

22 × 5 × 7 × 61 × 1559
Abundant Even Composite

13,313,860 factors as 2^2 × 5 × 7 × 61 × 1559. Its 48 positive divisors give a proper-divisor sum of 19,184,060, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 61 × 1559
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,497,920
Proper Divisor Sum 19,184,060
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13313857 ← → #13313863

Radix Representation

Decimal 13313860
Binary 110010110010011101000100 (24 bits)
Octal 0o62623504
Hexadecimal 0xCB2744

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1,220 1,559 1,708 2,135 3,118 4,270 6,236 7,795 8,540 10,913 15,590 21,826 31,180 43,652 54,565 95,099 109,130 190,198 218,260 380,396 475,495 665,693 950,990 1,331,386 1,901,980 2,662,772 3,328,465 6,656,930 13,313,860

Collatz Trajectory (135 steps to reach 1)

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

13,313,860 6,656,930 3,328,465 9,985,396 4,992,698 2,496,349 7,489,048 3,744,524 1,872,262 936,131 2,808,394 1,404,197 4,212,592 2,106,296 1,053,148 526,574 263,287 789,862 394,931 1,184,794 592,397 1,777,192 888,596 444,298 222,149 666,448 333,224 166,612 83,306 41,653 124,960 62,480 31,240 15,620 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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