λ
Math Directory

588,302

2 × 113 × 13 × 17
Deficient Even Composite

588,302 factors as 2 × 11^3 × 13 × 17. Its 32 positive divisors give a proper-divisor sum of 518,482, so this integer is deficient. The Collatz stopping time is 128 steps.

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Prime Factor Structure

Factorization String 2 × 11^3 × 13 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,106,784
Proper Divisor Sum 518,482
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #588293 ← → #588311

Radix Representation

Decimal 588302
Binary 10001111101000001110 (20 bits)
Octal 0o2175016
Hexadecimal 0x8FA0E

Divisor Catalog (5 of 32)

1 2 11 13 17

Collatz Trajectory (128 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.

588,302 294,151 882,454 441,227 1,323,682

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