13,258,910

2 × 5 × 7² × 27059

13,258,910 factors as 2 × 5 × 7^2 × 27059. Its 24 positive divisors give a proper-divisor sum of 14,504,650, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 27059

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 27,763,560

Proper Divisor Sum 14,504,650

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #13258897 ← → #13258919

Radix Representation

Decimal	13258910
Binary	110010100101000010011110 (24 bits)
Octal	0o62450236
Hexadecimal	0xCA509E

Divisor Catalog (24)

Collatz Trajectory (117 steps to reach 1)

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

13,258,910 6,629,455 19,888,366 9,944,183 29,832,550 14,916,275 44,748,826 22,374,413 67,123,240 33,561,620 16,780,810 8,390,405 25,171,216 12,585,608 6,292,804 3,146,402 1,573,201 4,719,604 2,359,802 1,179,901 3,539,704 1,769,852 884,926 442,463 1,327,390 663,695 1,991,086 995,543 2,986,630 1,493,315 4,479,946 2,239,973 6,719,920 3,359,960 1,679,980 839,990 419,995 1,259,986 629,993 1,889,980 944,990 472,495 1,417,486 708,743 2,126,230 1,063,115 3,189,346 1,594,673 4,784,020 2,392,010 1,196,005 3,588,016 1,794,008 897,004 448,502 224,251 672,754 336,377 1,009,132 504,566

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