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Zalai Atlas

8,142,147

33 × 13 × 23197
Deficient Odd Composite

8,142,147 has the prime decomposition 3^3 × 13 × 23197. Its 3 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 3^3 × 13 × 23197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,990,880
Proper Divisor Sum 4,848,733
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8142137 ← → #8142151

Radix Representation

Decimal 8142147
Binary 11111000011110101000011 (23 bits)
Octal 0o37036503
Hexadecimal 0x7C3D43

Divisor Catalog (5 of 16)

1 3 9 13 27

Collatz Trajectory (137 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.

8,142,147 24,426,442 12,213,221 36,639,664 18,319,832

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