10,413,664

2⁵ × 23 × 14149

10,413,664 factors as 2^5 × 23 × 14149. Its 24 positive divisors give a proper-divisor sum of 10,981,136, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 14149

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,394,800

Proper Divisor Sum 10,981,136

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #10413661 ← → #10413671

Radix Representation

Decimal	10413664
Binary	100111101110011001100000 (24 bits)
Octal	0o47563140
Hexadecimal	0x9EE660

Divisor Catalog (24)

Collatz Trajectory (189 steps to reach 1)

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

10,413,664 5,206,832 2,603,416 1,301,708 650,854 325,427 976,282 488,141 1,464,424 732,212 366,106 183,053 549,160 274,580 137,290 68,645 205,936 102,968 51,484 25,742 12,871 38,614 19,307 57,922 28,961 86,884 43,442 21,721 65,164 32,582 16,291 48,874 24,437 73,312 36,656 18,328 9,164 4,582 2,291 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838

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