λ
Prime Ledger

83,016

23 × 32 × 1153
Abundant Even Composite

83,016 has the prime decomposition 2^3 × 3^2 × 1153. Its 3 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 1153
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 225,030
Proper Divisor Sum 142,014
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #83009 ← → #83023

Radix Representation

Decimal 83016
Binary 10100010001001000 (17 bits)
Octal 0o242110
Hexadecimal 0x14448

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (89 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.

83,016 41,508 20,754 10,377 31,132

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