λ
Ratio Atlas

395,520

28 × 3 × 5 × 103
Abundant Even Composite

395,520 factors as 2^8 × 3 × 5 × 103. Its 72 positive divisors give a proper-divisor sum of 879,936, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 5 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 1,275,456
Proper Divisor Sum 879,936
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #395513 ← → #395533

Radix Representation

Decimal 395520
Binary 1100000100100000000 (19 bits)
Octal 0o1404400
Hexadecimal 0x60900

Divisor Catalog (60 of 72)

Collatz Trajectory (68 steps to reach 1)

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

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