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Zalai Atlas

5,823,664

24 × 7 × 11 × 29 × 163
Abundant Even Composite

5,823,664 has the prime decomposition 2^4 × 7 × 11 × 29 × 163. Its 5 distinct prime factors produce 80 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 29 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 14,641,920
Proper Divisor Sum 8,818,256
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5823659 ← → #5823667

Radix Representation

Decimal 5823664
Binary 10110001101110010110000 (23 bits)
Octal 0o26156260
Hexadecimal 0x58DCB0

Divisor Catalog (5 of 80)

1 2 4 7 8

Collatz Trajectory (170 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.

5,823,664 2,911,832 1,455,916 727,958 363,979

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