λ
Sequence Observatory

47,864

23 × 31 × 193
Deficient Even Composite

Starting at 47,864, the Collatz iteration reaches 1 after 52 steps. The first transition is 23932; the starting value is even with 16 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 31 × 193
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 93,120
Proper Divisor Sum 45,256
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #47857 ← → #47869

Radix Representation

Decimal 47864
Binary 1011101011111000 (16 bits)
Octal 0o135370
Hexadecimal 0xBAF8

Divisor Catalog (5 of 16)

1 2 4 8 31

Collatz Trajectory (52 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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