λ
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565,728

25 × 3 × 71 × 83
Abundant Even Composite

565,728 factors as 2^5 × 3 × 71 × 83. Its 48 positive divisors give a proper-divisor sum of 958,368, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 71 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,524,096
Proper Divisor Sum 958,368
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #565727 ← → #565769

Radix Representation

Decimal 565728
Binary 10001010000111100000 (20 bits)
Octal 0o2120740
Hexadecimal 0x8A1E0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 71 83 96 142 166 213 249 284 332 426 498 568 664 852 996 1,136 1,328 1,704 1,992 2,272 2,656 3,408 3,984 5,893 6,816 7,968 11,786 17,679 23,572 35,358 47,144 70,716 94,288 141,432 188,576 282,864 565,728

Collatz Trajectory (84 steps to reach 1)

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

565,728 282,864 141,432 70,716 35,358 17,679 53,038 26,519 79,558 39,779 119,338 59,669 179,008 89,504 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101

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