λ
Prime Ledger

330,129

33 × 12227
Deficient Odd Composite

330,129 has the prime decomposition 3^3 × 12227. Its 2 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 3^3 × 12227
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 489,120
Proper Divisor Sum 158,991
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #330103 ← → #330131

Radix Representation

Decimal 330129
Binary 1010000100110010001 (19 bits)
Octal 0o1204621
Hexadecimal 0x50991

Divisor Catalog (5 of 8)

1 3 9 27 12,227

Collatz Trajectory (184 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.

330,129 990,388 495,194 247,597 742,792

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