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Math Directory

344,504

23 × 43063
Deficient Even Composite

344,504 factors as 2^3 × 43063. Its 8 positive divisors give a proper-divisor sum of 301,456, so this integer is deficient. The Collatz stopping time is 109 steps.

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Prime Factor Structure

Factorization String 2^3 × 43063
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 645,960
Proper Divisor Sum 301,456
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #344497 ← → #344543

Radix Representation

Decimal 344504
Binary 1010100000110111000 (19 bits)
Octal 0o1240670
Hexadecimal 0x541B8

Divisor Catalog (5 of 8)

1 2 4 8 43,063

Collatz Trajectory (109 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.

344,504 172,252 86,126 43,063 129,190

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