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Math Directory

56,913

3 × 61 × 311
Deficient Odd Composite

56,913 factors as 3 × 61 × 311. Its 8 positive divisors give a proper-divisor sum of 20,463, so this integer is deficient. The Collatz stopping time is 91 steps.

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Prime Factor Structure

Factorization String 3 × 61 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 77,376
Proper Divisor Sum 20,463
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #56911 ← → #56921

Radix Representation

Decimal 56913
Binary 1101111001010001 (16 bits)
Octal 0o157121
Hexadecimal 0xDE51

Divisor Catalog (5 of 8)

1 3 61 183 311

Collatz Trajectory (91 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.

56,913 170,740 85,370 42,685 128,056

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