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Zalai Atlas

8,638,208

28 × 41 × 823
Abundant Even Composite

8,638,208 has the prime decomposition 2^8 × 41 × 823. Its 3 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 2^8 × 41 × 823
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,684,688
Proper Divisor Sum 9,046,480
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8638207 ← → #8638213

Radix Representation

Decimal 8638208
Binary 100000111100111100000000 (24 bits)
Octal 0o40747400
Hexadecimal 0x83CF00

Divisor Catalog (5 of 36)

1 2 4 8 16

Collatz Trajectory (67 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.

8,638,208 4,319,104 2,159,552 1,079,776 539,888

More profiles

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