17,513

83 × 211

17,513 has the prime decomposition 83 × 211. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 83 × 211

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 17,808

Proper Divisor Sum 295

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #17509 ← → #17519

Radix Representation

Decimal	17513
Binary	100010001101001 (15 bits)
Octal	0o42151
Hexadecimal	0x4469

Divisor Catalog (4)

1 83 211 17,513

Collatz Trajectory (79 steps to reach 1)

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

17,513 52,540 26,270 13,135 39,406 19,703 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19

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