λ
Sequence Observatory

217,808

24 × 13613
Deficient Even Composite

Starting at 217,808, the Collatz iteration reaches 1 after 67 steps. The first transition is 108904; the starting value is even with 10 positive divisors.

Resources

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Prime Factor Structure

Factorization String 2^4 × 13613
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 422,034
Proper Divisor Sum 204,226
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #217793 ← → #217823

Radix Representation

Decimal 217808
Binary 110101001011010000 (18 bits)
Octal 0o651320
Hexadecimal 0x352D0

Divisor Catalog (5 of 10)

1 2 4 8 16

Collatz Trajectory (67 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

217,808 108,904 54,452 27,226 13,613

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