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13,392,160

25 × 5 × 83701
Abundant Even Composite

13,392,160 factors as 2^5 × 5 × 83701. Its 24 positive divisors give a proper-divisor sum of 18,247,196, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 83701
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 31,639,356
Proper Divisor Sum 18,247,196
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13392143 ← → #13392167

Radix Representation

Decimal 13392160
Binary 110011000101100100100000 (24 bits)
Octal 0o63054440
Hexadecimal 0xCC5920

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 83,701 167,402 334,804 418,505 669,608 837,010 1,339,216 1,674,020 2,678,432 3,348,040 6,696,080 13,392,160

Collatz Trajectory (117 steps to reach 1)

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

13,392,160 6,696,080 3,348,040 1,674,020 837,010 418,505 1,255,516 627,758 313,879 941,638 470,819 1,412,458 706,229 2,118,688 1,059,344 529,672 264,836 132,418 66,209 198,628 99,314 49,657 148,972 74,486 37,243 111,730 55,865 167,596 83,798 41,899 125,698 62,849 188,548 94,274 47,137 141,412 70,706 35,353 106,060 53,030 26,515 79,546 39,773 119,320 59,660 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360

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