λ
Sequence Observatory

171,317

171317
Deficient Odd Prime

Starting at 171,317, the Collatz iteration reaches 1 after 51 steps. The first transition is 513952; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 171317
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 171,318
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #171299 ← → #171329

Radix Representation

Decimal 171317
Binary 101001110100110101 (18 bits)
Octal 0o516465
Hexadecimal 0x29D35

Divisor Catalog (2)

Collatz Trajectory (51 steps to reach 1)

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

171,317 513,952 256,976 128,488 64,244 32,122 16,061 48,184 24,092 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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