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Math Directory

688,264

23 × 227 × 379
Deficient Even Composite

688,264 factors as 2^3 × 227 × 379. Its 16 positive divisors give a proper-divisor sum of 611,336, so this integer is deficient. The Collatz stopping time is 79 steps.

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Prime Factor Structure

Factorization String 2^3 × 227 × 379
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,299,600
Proper Divisor Sum 611,336
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #688253 ← → #688277

Radix Representation

Decimal 688264
Binary 10101000000010001000 (20 bits)
Octal 0o2500210
Hexadecimal 0xA8088

Divisor Catalog (5 of 16)

1 2 4 8 227

Collatz Trajectory (79 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.

688,264 344,132 172,066 86,033 258,100

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