λ
Harmonic Matrix

6,827,030

2 × 5 × 7 × 17 × 5737
Abundant Even Composite

6,827,030 has digital root 8. The neighboring primes are 6827027 and 6827053; its proper-divisor sum differs from the starting integer by 1,218,836.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17 × 5737
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,872,896
Proper Divisor Sum 8,045,866
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6827027 ← → #6827053

Radix Representation

Decimal 6827030
Binary 11010000010110000010110 (23 bits)
Octal 0o32026026
Hexadecimal 0x682C16

Divisor Catalog (32)

Collatz Trajectory (77 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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