λ
Prime Ledger

507,532

22 × 31 × 4093
Deficient Even Composite

507,532 has the prime decomposition 2^2 × 31 × 4093. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 31 × 4093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 917,056
Proper Divisor Sum 409,524
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #507523 ← → #507557

Radix Representation

Decimal 507532
Binary 1111011111010001100 (19 bits)
Octal 0o1737214
Hexadecimal 0x7BE8C

Divisor Catalog (5 of 12)

1 2 4 31 62

Collatz Trajectory (151 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.

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