λ
Sigma Notebook

6,823,737

33 × 252731
Deficient Odd Composite

6,823,737 is odd and not a perfect square. Its factorization is 3^3 × 252731 and its 8 divisors sum to 10,109,280.

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Prime Factor Structure

Factorization String 3^3 × 252731
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,109,280
Proper Divisor Sum 3,285,543
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6823721 ← → #6823757

Radix Representation

Decimal 6823737
Binary 11010000001111100111001 (23 bits)
Octal 0o32017471
Hexadecimal 0x681F39

Divisor Catalog (5 of 8)

1 3 9 27 252,731

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.

6,823,737 20,471,212 10,235,606 5,117,803 15,353,410

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