λ
Prime Ledger

344,610

2 × 32 × 5 × 7 × 547
Abundant Even Composite

344,610 has the prime decomposition 2 × 3^2 × 5 × 7 × 547. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,025,856
Proper Divisor Sum 681,246
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #344599 ← → #344611

Radix Representation

Decimal 344610
Binary 1010100001000100010 (19 bits)
Octal 0o1241042
Hexadecimal 0x54222

Divisor Catalog (5 of 48)

1 2 3 5 6

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.

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