λ
Integer Codex

556,380

22 × 32 × 5 × 11 × 281
Abundant Even Composite

For 556,380, the 72 positive divisors have a total of 1,847,664. Removing 556,380 leaves 1,291,284, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 11 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 1,847,664
Proper Divisor Sum 1,291,284
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #556373 ← → #556399

Radix Representation

Decimal 556380
Binary 10000111110101011100 (20 bits)
Octal 0o2076534
Hexadecimal 0x87D5C

Divisor Catalog (60 of 72)

Collatz Trajectory (89 steps to reach 1)

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

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