λ
Integer Codex

120,224

25 × 13 × 172
Abundant Even Composite

For 120,224, the 36 positive divisors have a total of 270,774. Removing 120,224 leaves 150,550, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^5 × 13 × 17^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 270,774
Proper Divisor Sum 150,550
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #120223 ← → #120233

Radix Representation

Decimal 120224
Binary 11101010110100000 (17 bits)
Octal 0o352640
Hexadecimal 0x1D5A0

Divisor Catalog (5 of 36)

1 2 4 8 13

Collatz Trajectory (92 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.

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