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Zalai Atlas

8,100,292

22 × 113 × 17921
Deficient Even Composite

8,100,292 has the prime decomposition 2^2 × 113 × 17921. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 113 × 17921
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,301,756
Proper Divisor Sum 6,201,464
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8100283 ← → #8100343

Radix Representation

Decimal 8100292
Binary 11110111001100111000100 (23 bits)
Octal 0o36714704
Hexadecimal 0x7B99C4

Divisor Catalog (5 of 12)

1 2 4 113 226

Collatz Trajectory (85 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.

8,100,292 4,050,146 2,025,073 6,075,220 3,037,610

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