λ
Ratio Atlas

17,427,956

22 × 7 × 132 × 29 × 127
Abundant Even Composite

17,427,956 factors as 2^2 × 7 × 13^2 × 29 × 127. Its 72 positive divisors give a proper-divisor sum of 21,924,364, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13^2 × 29 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 39,352,320
Proper Divisor Sum 21,924,364
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #17427931 ← → #17427979

Radix Representation

Decimal 17427956
Binary 1000010011110110111110100 (25 bits)
Octal 0o102366764
Hexadecimal 0x109EDF4

Divisor Catalog (60 of 72)

Collatz Trajectory (182 steps to reach 1)

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

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