λ
Ratio Atlas

155,688

23 × 3 × 13 × 499
Abundant Even Composite

155,688 factors as 2^3 × 3 × 13 × 499. Its 32 positive divisors give a proper-divisor sum of 264,312, so this integer is abundant. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 420,000
Proper Divisor Sum 264,312
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #155671 ← → #155689

Radix Representation

Decimal 155688
Binary 100110000000101000 (18 bits)
Octal 0o460050
Hexadecimal 0x26028

Divisor Catalog (32)

Collatz Trajectory (51 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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