λ
Prime Ledger

6,565,720

23 × 5 × 7 × 131 × 179
Abundant Even Composite

6,565,720 has the prime decomposition 2^3 × 5 × 7 × 131 × 179. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 131 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,107,200
Proper Divisor Sum 10,541,480
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6565717 ← → #6565721

Radix Representation

Decimal 6565720
Binary 11001000010111101011000 (23 bits)
Octal 0o31027530
Hexadecimal 0x642F58

Divisor Catalog (5 of 64)

1 2 4 5 7

Collatz Trajectory (178 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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