λ
Prime Ledger

6,877,080

23 × 32 × 5 × 7 × 2729
Abundant Even Composite

6,877,080 has the prime decomposition 2^3 × 3^2 × 5 × 7 × 2729. Its 5 distinct prime factors produce 96 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 2729
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 25,552,800
Proper Divisor Sum 18,675,720
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6877051 ← → #6877109

Radix Representation

Decimal 6877080
Binary 11010001110111110011000 (23 bits)
Octal 0o32167630
Hexadecimal 0x68EF98

Divisor Catalog (5 of 96)

1 2 3 4 5

Collatz Trajectory (103 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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