λ
Prime Ledger

317,013

3 × 251 × 421
Deficient Odd Composite

317,013 has the prime decomposition 3 × 251 × 421. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 251 × 421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 425,376
Proper Divisor Sum 108,363
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #317011 ← → #317021

Radix Representation

Decimal 317013
Binary 1001101011001010101 (19 bits)
Octal 0o1153125
Hexadecimal 0x4D655

Divisor Catalog (8)

1 3 251 421 753 1,263 105,671 317,013

Collatz Trajectory (47 steps to reach 1)

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

317,013 951,040 475,520 237,760 118,880 59,440 29,720 14,860 7,430 3,715 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 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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