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4,596,576

25 × 3 × 47881
Abundant Even Composite

4,596,576 factors as 2^5 × 3 × 47881. Its 24 positive divisors give a proper-divisor sum of 7,469,688, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 47881
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,066,264
Proper Divisor Sum 7,469,688
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4596569 ← → #4596577

Radix Representation

Decimal 4596576
Binary 10001100010001101100000 (23 bits)
Octal 0o21421540
Hexadecimal 0x462360

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 47,881 95,762 143,643 191,524 287,286 383,048 574,572 766,096 1,149,144 1,532,192 2,298,288 4,596,576

Collatz Trajectory (61 steps to reach 1)

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

4,596,576 2,298,288 1,149,144 574,572 287,286 143,643 430,930 215,465 646,396 323,198 161,599 484,798 242,399 727,198 363,599 1,090,798 545,399 1,636,198 818,099 2,454,298 1,227,149 3,681,448 1,840,724 920,362 460,181 1,380,544 690,272 345,136 172,568 86,284 43,142 21,571 64,714 32,357 97,072 48,536 24,268 12,134 6,067 18,202 9,101 27,304 13,652 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4

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