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Zalai Atlas

4,082,001

3 × 7 × 11 × 41 × 431
Deficient Odd Composite

4,082,001 has the prime decomposition 3 × 7 × 11 × 41 × 431. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 3 × 7 × 11 × 41 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,967,296
Proper Divisor Sum 2,885,295
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4081999 ← → #4082021

Radix Representation

Decimal 4082001
Binary 1111100100100101010001 (22 bits)
Octal 0o17444521
Hexadecimal 0x3E4951

Divisor Catalog (5 of 32)

1 3 7 11 21

Collatz Trajectory (185 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.

4,082,001 12,246,004 6,123,002 3,061,501 9,184,504

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