λ
Integer Codex

220,113

32 × 37 × 661
Deficient Odd Composite

For 220,113, the 12 positive divisors have a total of 327,028. Removing 220,113 leaves 106,915, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^2 × 37 × 661
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 327,028
Proper Divisor Sum 106,915
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #220063 ← → #220123

Radix Representation

Decimal 220113
Binary 110101101111010001 (18 bits)
Octal 0o655721
Hexadecimal 0x35BD1

Divisor Catalog (5 of 12)

1 3 9 37 111

Collatz Trajectory (186 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.

220,113 660,340 330,170 165,085 495,256

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