λ
Integer Codex

410,500

22 × 53 × 821
Abundant Even Composite

For 410,500, the 24 positive divisors have a total of 897,624. Removing 410,500 leaves 487,124, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 5^3 × 821
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 897,624
Proper Divisor Sum 487,124
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #410497 ← → #410507

Radix Representation

Decimal 410500
Binary 1100100001110000100 (19 bits)
Octal 0o1441604
Hexadecimal 0x64384

Divisor Catalog (5 of 24)

1 2 4 5 10

Collatz Trajectory (236 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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