λ
Prime Ledger

31,629

3 × 13 × 811
Deficient Odd Composite

31,629 has the prime decomposition 3 × 13 × 811. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 3 × 13 × 811
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 45,472
Proper Divisor Sum 13,843
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #31627 ← → #31643

Radix Representation

Decimal 31629
Binary 111101110001101 (15 bits)
Octal 0o75615
Hexadecimal 0x7B8D

Divisor Catalog (5 of 8)

1 3 13 39 811

Collatz Trajectory (54 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.

31,629 94,888 47,444 23,722 11,861

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