λ
Sequence Observatory

111,808

26 × 1747
Deficient Even Composite

Starting at 111,808, the Collatz iteration reaches 1 after 154 steps. The first transition is 55904; the starting value is even with 14 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 1747
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 221,996
Proper Divisor Sum 110,188
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #111799 ← → #111821

Radix Representation

Decimal 111808
Binary 11011010011000000 (17 bits)
Octal 0o332300
Hexadecimal 0x1B4C0

Divisor Catalog (5 of 14)

1 2 4 8 16

Collatz Trajectory (154 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.

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