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Zalai Atlas

7,971,975

32 × 52 × 11 × 3221
Deficient Odd Composite

7,971,975 has the prime decomposition 3^2 × 5^2 × 11 × 3221. Its 4 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 5^2 × 11 × 3221
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,581,592
Proper Divisor Sum 7,609,617
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7971973 ← → #7972009

Radix Representation

Decimal 7971975
Binary 11110011010010010000111 (23 bits)
Octal 0o36322207
Hexadecimal 0x79A487

Divisor Catalog (5 of 36)

1 3 5 9 11

Collatz Trajectory (186 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.

7,971,975 23,915,926 11,957,963 35,873,890 17,936,945

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