λ
Prime Ledger

172,731

3 × 13 × 43 × 103
Deficient Odd Composite

172,731 has the prime decomposition 3 × 13 × 43 × 103. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 43 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 256,256
Proper Divisor Sum 83,525
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #172721 ← → #172741

Radix Representation

Decimal 172731
Binary 101010001010111011 (18 bits)
Octal 0o521273
Hexadecimal 0x2A2BB

Divisor Catalog (16)

Collatz Trajectory (134 steps to reach 1)

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

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