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13,664,480

25 × 5 × 41 × 2083
Abundant Even Composite

13,664,480 factors as 2^5 × 5 × 41 × 2083. Its 48 positive divisors give a proper-divisor sum of 19,421,104, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 41 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,085,584
Proper Divisor Sum 19,421,104
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #13664473 ← → #13664489

Radix Representation

Decimal 13664480
Binary 110100001000000011100000 (24 bits)
Octal 0o64100340
Hexadecimal 0xD080E0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1,312 1,640 2,083 3,280 4,166 6,560 8,332 10,415 16,664 20,830 33,328 41,660 66,656 83,320 85,403 166,640 170,806 333,280 341,612 427,015 683,224 854,030 1,366,448 1,708,060 2,732,896 3,416,120 6,832,240 13,664,480

Collatz Trajectory (192 steps to reach 1)

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

13,664,480 6,832,240 3,416,120 1,708,060 854,030 427,015 1,281,046 640,523 1,921,570 960,785 2,882,356 1,441,178 720,589 2,161,768 1,080,884 540,442 270,221 810,664 405,332 202,666 101,333 304,000 152,000 76,000 38,000 19,000 9,500 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455

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