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813,528

23 × 32 × 11299
Abundant Even Composite

813,528 factors as 2^3 × 3^2 × 11299. Its 24 positive divisors give a proper-divisor sum of 1,389,972, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11299
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,203,500
Proper Divisor Sum 1,389,972
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #813511 ← → #813529

Radix Representation

Decimal 813528
Binary 11000110100111011000 (20 bits)
Octal 0o3064730
Hexadecimal 0xC69D8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 11,299 22,598 33,897 45,196 67,794 90,392 101,691 135,588 203,382 271,176 406,764 813,528

Collatz Trajectory (61 steps to reach 1)

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

813,528 406,764 203,382 101,691 305,074 152,537 457,612 228,806 114,403 343,210 171,605 514,816 257,408 128,704 64,352 32,176 16,088 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4

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