λ
Prime Ledger

9,632,876

22 × 11 × 37 × 61 × 97
Abundant Even Composite

9,632,876 has the prime decomposition 2^2 × 11 × 37 × 61 × 97. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 11 × 37 × 61 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,394,592
Proper Divisor Sum 9,761,716
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9632873 ← → #9632879

Radix Representation

Decimal 9632876
Binary 100100101111110001101100 (24 bits)
Octal 0o44576154
Hexadecimal 0x92FC6C

Divisor Catalog (5 of 48)

1 2 4 11 22

Collatz Trajectory (300 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.

9,632,876 4,816,438 2,408,219 7,224,658 3,612,329

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