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Math Directory

14,677

13 × 1129
Deficient Odd Composite

14,677 factors as 13 × 1129. Its 4 positive divisors give a proper-divisor sum of 1,143, so this integer is deficient. The Collatz stopping time is 40 steps.

Prime Factor Structure

Factorization String 13 × 1129
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 15,820
Proper Divisor Sum 1,143
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #14669 ← → #14683

Radix Representation

Decimal 14677
Binary 11100101010101 (14 bits)
Octal 0o34525
Hexadecimal 0x3955

Divisor Catalog (4)

1 13 1,129 14,677

Collatz Trajectory (40 steps to reach 1)

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

14,677 44,032 22,016 11,008 5,504 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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