λ
Ratio Atlas

126,225

33 × 52 × 11 × 17
Abundant Odd Composite

126,225 factors as 3^3 × 5^2 × 11 × 17. Its 48 positive divisors give a proper-divisor sum of 141,615, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 11 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 267,840
Proper Divisor Sum 141,615
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #126223 ← → #126227

Radix Representation

Decimal 126225
Binary 11110110100010001 (17 bits)
Octal 0o366421
Hexadecimal 0x1ED11

Divisor Catalog (48)

Collatz Trajectory (105 steps to reach 1)

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

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