λ
Prime Ledger

6,837,726

2 × 3 × 7 × 71 × 2293
Abundant Even Composite

6,837,726 has the prime decomposition 2 × 3 × 7 × 71 × 2293. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 71 × 2293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,856,128
Proper Divisor Sum 9,018,402
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6837713 ← → #6837751

Radix Representation

Decimal 6837726
Binary 11010000101010111011110 (23 bits)
Octal 0o32052736
Hexadecimal 0x6855DE

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (240 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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