λ
Sigma Notebook

305,688

23 × 3 × 47 × 271
Abundant Even Composite

305,688 is even and not a perfect square. Its factorization is 2^3 × 3 × 47 × 271 and its 32 divisors sum to 783,360.

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Prime Factor Structure

Factorization String 2^3 × 3 × 47 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 783,360
Proper Divisor Sum 477,672
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #305663 ← → #305717

Radix Representation

Decimal 305688
Binary 1001010101000011000 (19 bits)
Octal 0o1125030
Hexadecimal 0x4AA18

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (109 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.

305,688 152,844 76,422 38,211 114,634

More profiles

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