λ
Sigma Notebook

450,616

23 × 23 × 31 × 79
Abundant Even Composite

450,616 is even and not a perfect square. Its factorization is 2^3 × 23 × 31 × 79 and its 32 divisors sum to 921,600.

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Prime Factor Structure

Factorization String 2^3 × 23 × 31 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 921,600
Proper Divisor Sum 470,984
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #450601 ← → #450617

Radix Representation

Decimal 450616
Binary 1101110000000111000 (19 bits)
Octal 0o1560070
Hexadecimal 0x6E038

Divisor Catalog (5 of 32)

1 2 4 8 23

Collatz Trajectory (112 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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