λ
Prime Ledger

61,623

32 × 41 × 167
Deficient Odd Composite

61,623 has the prime decomposition 3^2 × 41 × 167. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 41 × 167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 91,728
Proper Divisor Sum 30,105
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #61613 ← → #61627

Radix Representation

Decimal 61623
Binary 1111000010110111 (16 bits)
Octal 0o170267
Hexadecimal 0xF0B7

Divisor Catalog (5 of 12)

1 3 9 41 123

Collatz Trajectory (179 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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