λ
Integer Codex

112,220

22 × 5 × 31 × 181
Abundant Even Composite

For 112,220, the 24 positive divisors have a total of 244,608. Removing 112,220 leaves 132,388, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 244,608
Proper Divisor Sum 132,388
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #112213 ← → #112223

Radix Representation

Decimal 112220
Binary 11011011001011100 (17 bits)
Octal 0o333134
Hexadecimal 0x1B65C

Divisor Catalog (24)

Collatz Trajectory (110 steps to reach 1)

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

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