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Atlas › Integer Profiles › Node 13,609,160

13,609,160

23 × 5 × 397 × 857
Abundant Even Composite

13,609,160 factors as 2^3 × 5 × 397 × 857. Its 32 positive divisors give a proper-divisor sum of 17,124,400, so this integer is abundant. The Collatz stopping time is 285 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 397 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,733,560
Proper Divisor Sum 17,124,400
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #13609159 ← → #13609237

Radix Representation

Decimal 13609160
Binary 110011111010100011001000 (24 bits)
Octal 0o63724310
Hexadecimal 0xCFA8C8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 397 794 857 1,588 1,714 1,985 3,176 3,428 3,970 4,285 6,856 7,940 8,570 15,880 17,140 34,280 340,229 680,458 1,360,916 1,701,145 2,721,832 3,402,290 6,804,580 13,609,160

Collatz Trajectory (285 steps to reach 1)

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

13,609,160 6,804,580 3,402,290 1,701,145 5,103,436 2,551,718 1,275,859 3,827,578 1,913,789 5,741,368 2,870,684 1,435,342 717,671 2,153,014 1,076,507 3,229,522 1,614,761 4,844,284 2,422,142 1,211,071 3,633,214 1,816,607 5,449,822 2,724,911 8,174,734 4,087,367 12,262,102 6,131,051 18,393,154 9,196,577 27,589,732 13,794,866 6,897,433 20,692,300 10,346,150 5,173,075 15,519,226 7,759,613 23,278,840 11,639,420 5,819,710 2,909,855 8,729,566 4,364,783 13,094,350 6,547,175 19,641,526 9,820,763 29,462,290 14,731,145 44,193,436 22,096,718 11,048,359 33,145,078 16,572,539 49,717,618 24,858,809 74,576,428 37,288,214 18,644,107

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