λ
Matchaa Zalai

408,632

23 × 7 × 7297
Abundant Even Composite

408,632 factors as 2^3 × 7 × 7297. Its 16 positive divisors give a proper-divisor sum of 467,128, so this integer is abundant. The Collatz stopping time is 161 steps.

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Prime Factor Structure

Factorization String 2^3 × 7 × 7297
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 875,760
Proper Divisor Sum 467,128
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #408631 ← → #408637

Radix Representation

Decimal 408632
Binary 1100011110000111000 (19 bits)
Octal 0o1436070
Hexadecimal 0x63C38

Divisor Catalog (5 of 16)

1 2 4 7 8

Collatz Trajectory (161 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.

408,632 204,316 102,158 51,079 153,238

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