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Math Directory

126,188

22 × 31547
Deficient Even Composite

126,188 factors as 2^2 × 31547. Its 6 positive divisors give a proper-divisor sum of 94,648, so this integer is deficient. The Collatz stopping time is 87 steps.

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Prime Factor Structure

Factorization String 2^2 × 31547
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 220,836
Proper Divisor Sum 94,648
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #126173 ← → #126199

Radix Representation

Decimal 126188
Binary 11110110011101100 (17 bits)
Octal 0o366354
Hexadecimal 0x1ECEC

Divisor Catalog (5 of 6)

1 2 4 31,547 63,094

Collatz Trajectory (87 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.

126,188 63,094 31,547 94,642 47,321

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