13,100,840

2³ × 5 × 193 × 1697

13,100,840 factors as 2^3 × 5 × 193 × 1697. Its 32 positive divisors give a proper-divisor sum of 16,546,240, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 193 × 1697

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 29,647,080

Proper Divisor Sum 16,546,240

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #13100821 ← → #13100887

Radix Representation

Decimal	13100840
Binary	110001111110011100101000 (24 bits)
Octal	0o61763450
Hexadecimal	0xC7E728

Divisor Catalog (32)

Collatz Trajectory (117 steps to reach 1)

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

13,100,840 6,550,420 3,275,210 1,637,605 4,912,816 2,456,408 1,228,204 614,102 307,051 921,154 460,577 1,381,732 690,866 345,433 1,036,300 518,150 259,075 777,226 388,613 1,165,840 582,920 291,460 145,730 72,865 218,596 109,298 54,649 163,948 81,974 40,987 122,962 61,481 184,444 92,222 46,111 138,334 69,167 207,502 103,751 311,254 155,627 466,882 233,441 700,324 350,162 175,081 525,244 262,622 131,311 393,934 196,967 590,902 295,451 886,354 443,177 1,329,532 664,766 332,383 997,150 498,575

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