λ
Ratio Atlas

99,864

23 × 32 × 19 × 73
Abundant Even Composite

99,864 factors as 2^3 × 3^2 × 19 × 73. Its 48 positive divisors give a proper-divisor sum of 188,736, so this integer is abundant. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 288,600
Proper Divisor Sum 188,736
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #99859 ← → #99871

Radix Representation

Decimal 99864
Binary 11000011000011000 (17 bits)
Octal 0o303030
Hexadecimal 0x18618

Divisor Catalog (48)

Collatz Trajectory (53 steps to reach 1)

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

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