λ
Prime Ledger

12,835

5 × 17 × 151
Deficient Odd Composite

12,835 has the prime decomposition 5 × 17 × 151. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 17 × 151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,416
Proper Divisor Sum 3,581
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #12829 ← → #12841

Radix Representation

Decimal 12835
Binary 11001000100011 (14 bits)
Octal 0o31043
Hexadecimal 0x3223

Divisor Catalog (8)

1 5 17 85 151 755 2,567 12,835

Collatz Trajectory (63 steps to reach 1)

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

12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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