λ
Prime Ledger

344,331

35 × 13 × 109
Deficient Odd Composite

344,331 has the prime decomposition 3^5 × 13 × 109. Its 3 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 3^5 × 13 × 109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 560,560
Proper Divisor Sum 216,229
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #344327 ← → #344347

Radix Representation

Decimal 344331
Binary 1010100000100001011 (19 bits)
Octal 0o1240413
Hexadecimal 0x5410B

Divisor Catalog (5 of 24)

1 3 9 13 27

Collatz Trajectory (197 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.

344,331 1,032,994 516,497 1,549,492 774,746

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