λ
Ratio Atlas

84,108

22 × 3 × 43 × 163
Abundant Even Composite

84,108 factors as 2^2 × 3 × 43 × 163. Its 24 positive divisors give a proper-divisor sum of 117,940, so this integer is abundant. The Collatz stopping time is 32 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 43 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 202,048
Proper Divisor Sum 117,940
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #84089 ← → #84121

Radix Representation

Decimal 84108
Binary 10100100010001100 (17 bits)
Octal 0o244214
Hexadecimal 0x1488C

Divisor Catalog (24)

Collatz Trajectory (32 steps to reach 1)

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

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