λ
Sigma Notebook

6,787,827

33 × 29 × 8669
Deficient Odd Composite

6,787,827 is odd and not a perfect square. Its factorization is 3^3 × 29 × 8669 and its 16 divisors sum to 10,404,000.

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Prime Factor Structure

Factorization String 3^3 × 29 × 8669
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,404,000
Proper Divisor Sum 3,616,173
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6787801 ← → #6787841

Radix Representation

Decimal 6787827
Binary 11001111001001011110011 (23 bits)
Octal 0o31711363
Hexadecimal 0x6792F3

Divisor Catalog (5 of 16)

1 3 9 27 29

Collatz Trajectory (108 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.

6,787,827 20,363,482 10,181,741 30,545,224 15,272,612

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