λ
Sigma Notebook

257,928

23 × 3 × 11 × 977
Abundant Even Composite

257,928 is even and not a perfect square. Its factorization is 2^3 × 3 × 11 × 977 and its 32 divisors sum to 704,160.

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Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 704,160
Proper Divisor Sum 446,232
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #257921 ← → #257947

Radix Representation

Decimal 257928
Binary 111110111110001000 (18 bits)
Octal 0o767610
Hexadecimal 0x3EF88

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (101 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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