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Math Directory

358,209

33 × 13267
Deficient Odd Composite

358,209 factors as 3^3 × 13267. Its 8 positive divisors give a proper-divisor sum of 172,511, so this integer is deficient. The Collatz stopping time is 73 steps.

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Prime Factor Structure

Factorization String 3^3 × 13267
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 530,720
Proper Divisor Sum 172,511
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #358201 ← → #358213

Radix Representation

Decimal 358209
Binary 1010111011101000001 (19 bits)
Octal 0o1273501
Hexadecimal 0x57741

Divisor Catalog (5 of 8)

1 3 9 27 13,267

Collatz Trajectory (73 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.

358,209 1,074,628 537,314 268,657 805,972

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