λ
Zalai Atlas

593,684

22 × 72 × 13 × 233
Abundant Even Composite

593,684 has the prime decomposition 2^2 × 7^2 × 13 × 233. Its 4 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,307,124
Proper Divisor Sum 713,440
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #593651 ← → #593689

Radix Representation

Decimal 593684
Binary 10010000111100010100 (20 bits)
Octal 0o2207424
Hexadecimal 0x90F14

Divisor Catalog (5 of 36)

1 2 4 7 13

Collatz Trajectory (66 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.

593,684 296,842 148,421 445,264 222,632

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