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Atlas › Integer Profiles › Node 13,280,920

13,280,920

23 × 5 × 61 × 5443
Abundant Even Composite

13,280,920 factors as 2^3 × 5 × 61 × 5443. Its 32 positive divisors give a proper-divisor sum of 17,096,600, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 61 × 5443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,377,520
Proper Divisor Sum 17,096,600
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13280881 ← → #13280921

Radix Representation

Decimal 13280920
Binary 110010101010011010011000 (24 bits)
Octal 0o62523230
Hexadecimal 0xCAA698

Divisor Catalog (32)

1 2 4 5 8 10 20 40 61 122 244 305 488 610 1,220 2,440 5,443 10,886 21,772 27,215 43,544 54,430 108,860 217,720 332,023 664,046 1,328,092 1,660,115 2,656,184 3,320,230 6,640,460 13,280,920

Collatz Trajectory (104 steps to reach 1)

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

13,280,920 6,640,460 3,320,230 1,660,115 4,980,346 2,490,173 7,470,520 3,735,260 1,867,630 933,815 2,801,446 1,400,723 4,202,170 2,101,085 6,303,256 3,151,628 1,575,814 787,907 2,363,722 1,181,861 3,545,584 1,772,792 886,396 443,198 221,599 664,798 332,399 997,198 498,599 1,495,798 747,899 2,243,698 1,121,849 3,365,548 1,682,774 841,387 2,524,162 1,262,081 3,786,244 1,893,122 946,561 2,839,684 1,419,842 709,921 2,129,764 1,064,882 532,441 1,597,324 798,662 399,331 1,197,994 598,997 1,796,992 898,496 449,248 224,624 112,312 56,156 28,078 14,039

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