λ
Sequence Observatory

201,709

201709
Deficient Odd Prime

Starting at 201,709, the Collatz iteration reaches 1 after 173 steps. The first transition is 605128; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 201709
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 201,710
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #201701 ← → #201731

Radix Representation

Decimal 201709
Binary 110001001111101101 (18 bits)
Octal 0o611755
Hexadecimal 0x313ED

Divisor Catalog (2)

Collatz Trajectory (173 steps to reach 1)

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

201,709 605,128 302,564 151,282 75,641 226,924 113,462 56,731 170,194 85,097 255,292 127,646 63,823 191,470 95,735 287,206 143,603 430,810 215,405 646,216 323,108 161,554 80,777 242,332 121,166 60,583 181,750 90,875 272,626 136,313 408,940 204,470 102,235 306,706 153,353 460,060 230,030 115,015 345,046 172,523 517,570 258,785 776,356 388,178 194,089 582,268 291,134 145,567 436,702 218,351 655,054 327,527 982,582 491,291 1,473,874 736,937 2,210,812 1,105,406 552,703 1,658,110

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