λ
Prime Ledger

8,093,376

26 × 32 × 14051
Abundant Even Composite

8,093,376 has the prime decomposition 2^6 × 3^2 × 14051. Its 3 distinct prime factors produce 42 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 3^2 × 14051
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 23,199,852
Proper Divisor Sum 15,106,476
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8093369 ← → #8093429

Radix Representation

Decimal 8093376
Binary 11110110111111011000000 (23 bits)
Octal 0o36677300
Hexadecimal 0x7B7EC0

Divisor Catalog (5 of 42)

1 2 3 4 6

Collatz Trajectory (124 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.

8,093,376 4,046,688 2,023,344 1,011,672 505,836

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