λ
Zalai Atlas

590,200

23 × 52 × 13 × 227
Abundant Even Composite

590,200 has the prime decomposition 2^3 × 5^2 × 13 × 227. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,484,280
Proper Divisor Sum 894,080
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #590171 ← → #590201

Radix Representation

Decimal 590200
Binary 10010000000101111000 (20 bits)
Octal 0o2200570
Hexadecimal 0x90178

Divisor Catalog (5 of 48)

1 2 4 5 8

Collatz Trajectory (190 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.

590,200 295,100 147,550 73,775 221,326

More profiles

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