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Math Directory

732,238

2 × 13 × 28163
Deficient Even Composite

732,238 factors as 2 × 13 × 28163. Its 8 positive divisors give a proper-divisor sum of 450,650, so this integer is deficient. The Collatz stopping time is 180 steps.

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Prime Factor Structure

Factorization String 2 × 13 × 28163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,182,888
Proper Divisor Sum 450,650
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #732233 ← → #732239

Radix Representation

Decimal 732238
Binary 10110010110001001110 (20 bits)
Octal 0o2626116
Hexadecimal 0xB2C4E

Divisor Catalog (5 of 8)

1 2 13 26 28,163

Collatz Trajectory (180 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.

732,238 366,119 1,098,358 549,179 1,647,538

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