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Math Directory

251,326

2 × 53 × 2371
Deficient Even Composite

251,326 factors as 2 × 53 × 2371. Its 8 positive divisors give a proper-divisor sum of 132,938, so this integer is deficient. The Collatz stopping time is 181 steps.

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Prime Factor Structure

Factorization String 2 × 53 × 2371
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 384,264
Proper Divisor Sum 132,938
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #251323 ← → #251347

Radix Representation

Decimal 251326
Binary 111101010110111110 (18 bits)
Octal 0o752676
Hexadecimal 0x3D5BE

Divisor Catalog (5 of 8)

1 2 53 106 2,371

Collatz Trajectory (181 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.

251,326 125,663 376,990 188,495 565,486

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