λ
Integer Codex

258,648

23 × 3 × 13 × 829
Abundant Even Composite

For 258,648, the 32 positive divisors have a total of 697,200. Removing 258,648 leaves 438,552, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 697,200
Proper Divisor Sum 438,552
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #258637 ← → #258659

Radix Representation

Decimal 258648
Binary 111111001001011000 (18 bits)
Octal 0o771130
Hexadecimal 0x3F258

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (150 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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