λ
Zalai Atlas

6,827,649

3 × 1063 × 2141
Deficient Odd Composite

6,827,649 has the prime decomposition 3 × 1063 × 2141. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 3 × 1063 × 2141
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,116,352
Proper Divisor Sum 2,288,703
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6827633 ← → #6827671

Radix Representation

Decimal 6827649
Binary 11010000010111010000001 (23 bits)
Octal 0o32027201
Hexadecimal 0x682E81

Divisor Catalog (5 of 8)

1 3 1,063 2,141 3,189

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.

6,827,649 20,482,948 10,241,474 5,120,737 15,362,212

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