λ
Math Directory

452,766

2 × 3 × 59 × 1279
Abundant Even Composite

452,766 factors as 2 × 3 × 59 × 1279. Its 16 positive divisors give a proper-divisor sum of 468,834, so this integer is abundant. The Collatz stopping time is 156 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 59 × 1279
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 921,600
Proper Divisor Sum 468,834
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #452759 ← → #452773

Radix Representation

Decimal 452766
Binary 1101110100010011110 (19 bits)
Octal 0o1564236
Hexadecimal 0x6E89E

Divisor Catalog (5 of 16)

1 2 3 6 59

Collatz Trajectory (156 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.

452,766 226,383 679,150 339,575 1,018,726

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