λ
Prime Ledger

56,814

2 × 3 × 17 × 557
Abundant Even Composite

56,814 has the prime decomposition 2 × 3 × 17 × 557. Its 4 distinct prime factors produce 16 positive divisors.

Resources

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Prime Factor Structure

Factorization String 2 × 3 × 17 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 120,528
Proper Divisor Sum 63,714
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #56813 ← → #56821

Radix Representation

Decimal 56814
Binary 1101110111101110 (16 bits)
Octal 0o156756
Hexadecimal 0xDDEE

Divisor Catalog (5 of 16)

1 2 3 6 17

Collatz Trajectory (60 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.

56,814 28,407 85,222 42,611 127,834

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