λ
Ratio Atlas

400,820

22 × 5 × 72 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 981,540
Proper Divisor Sum 580,720
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #400759 ← → #400823

Radix Representation

Decimal 400820
Binary 1100001110110110100 (19 bits)
Octal 0o1416664
Hexadecimal 0x61DB4

Divisor Catalog (36)

Collatz Trajectory (68 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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