λ
Prime Ledger

8,105,742

2 × 32 × 19 × 137 × 173
Abundant Even Composite

8,105,742 has the prime decomposition 2 × 3^2 × 19 × 137 × 173. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 137 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,729,360
Proper Divisor Sum 10,623,618
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8105737 ← → #8105743

Radix Representation

Decimal 8105742
Binary 11110111010111100001110 (23 bits)
Octal 0o36727416
Hexadecimal 0x7BAF0E

Divisor Catalog (5 of 48)

1 2 3 6 9

Collatz Trajectory (261 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.

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