17,251

13 × 1327

17,251 factors as 13 × 1327. Its 4 positive divisors give a proper-divisor sum of 1,341, so this integer is deficient. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 13 × 1327

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 18,592

Proper Divisor Sum 1,341

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #17239 ← → #17257

Radix Representation

Decimal	17251
Binary	100001101100011 (15 bits)
Octal	0o41543
Hexadecimal	0x4363

Divisor Catalog (4)

1 13 1,327 17,251

Collatz Trajectory (53 steps to reach 1)

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

17,251 51,754 25,877 77,632 38,816 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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