λ
Sequence Observatory

163,909

163909
Deficient Odd Prime

Starting at 163,909, the Collatz iteration reaches 1 after 46 steps. The first transition is 491728; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 163909
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 163,910
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #163901 ← → #163927

Radix Representation

Decimal 163909
Binary 101000000001000101 (18 bits)
Octal 0o500105
Hexadecimal 0x28045

Divisor Catalog (2)

Collatz Trajectory (46 steps to reach 1)

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

163,909 491,728 245,864 122,932 61,466 30,733 92,200 46,100 23,050 11,525 34,576 17,288 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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