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46,560,256

210 × 41 × 1109
Abundant Even Composite

46,560,256 factors as 2^10 × 41 × 1109. Its 44 positive divisors give a proper-divisor sum of 48,870,884, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^10 × 41 × 1109
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 95,431,140
Proper Divisor Sum 48,870,884
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #46560251 ← → #46560277

Radix Representation

Decimal 46560256
Binary 10110001100111010000000000 (26 bits)
Octal 0o261472000
Hexadecimal 0x2C67400

Divisor Catalog (44)

1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1,024 1,109 1,312 2,218 2,624 4,436 5,248 8,872 10,496 17,744 20,992 35,488 41,984 45,469 70,976 90,938 141,952 181,876 283,904 363,752 567,808 727,504 1,135,616 1,455,008 2,910,016 5,820,032 11,640,064 23,280,128 46,560,256

Collatz Trajectory (155 steps to reach 1)

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

46,560,256 23,280,128 11,640,064 5,820,032 2,910,016 1,455,008 727,504 363,752 181,876 90,938 45,469 136,408 68,204 34,102 17,051 51,154 25,577 76,732 38,366 19,183 57,550 28,775 86,326 43,163 129,490 64,745 194,236 97,118 48,559 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857 155,572 77,786 38,893 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409 49,228

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