λ
Prime Ledger

223,000

23 × 53 × 223
Abundant Even Composite

223,000 has the prime decomposition 2^3 × 5^3 × 223. Its 3 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 223
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 524,160
Proper Divisor Sum 301,160
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #222991 ← → #223007

Radix Representation

Decimal 223000
Binary 110110011100011000 (18 bits)
Octal 0o663430
Hexadecimal 0x36718

Divisor Catalog (32)

Collatz Trajectory (36 steps to reach 1)

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

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