λ
Prime Ledger

6,824,006

2 × 7 × 487429
Deficient Even Composite

6,824,006 has the prime decomposition 2 × 7 × 487429. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 2 × 7 × 487429
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,698,320
Proper Divisor Sum 4,874,314
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6824003 ← → #6824039

Radix Representation

Decimal 6824006
Binary 11010000010000001000110 (23 bits)
Octal 0o32020106
Hexadecimal 0x682046

Divisor Catalog (5 of 8)

1 2 7 14 487,429

Collatz Trajectory (85 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.

6,824,006 3,412,003 10,236,010 5,118,005 15,354,016

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