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Math Directory

5,861,600

25 × 52 × 17 × 431
Abundant Even Composite

5,861,600 factors as 2^5 × 5^2 × 17 × 431. Its 72 positive divisors give a proper-divisor sum of 9,324,928, so this integer is abundant. The Collatz stopping time is 183 steps.

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Prime Factor Structure

Factorization String 2^5 × 5^2 × 17 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 15,186,528
Proper Divisor Sum 9,324,928
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5861593 ← → #5861621

Radix Representation

Decimal 5861600
Binary 10110010111000011100000 (23 bits)
Octal 0o26270340
Hexadecimal 0x5970E0

Divisor Catalog (5 of 72)

1 2 4 5 8

Collatz Trajectory (183 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

5,861,600 2,930,800 1,465,400 732,700 366,350

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