λ
Sigma Notebook

7,782,579

32 × 7 × 23 × 41 × 131
Deficient Odd Composite

7,782,579 is odd and not a perfect square. Its factorization is 3^2 × 7 × 23 × 41 × 131 and its 48 divisors sum to 13,837,824.

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Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 41 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,837,824
Proper Divisor Sum 6,055,245
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7782569 ← → #7782587

Radix Representation

Decimal 7782579
Binary 11101101100000010110011 (23 bits)
Octal 0o35540263
Hexadecimal 0x76C0B3

Divisor Catalog (5 of 48)

1 3 7 9 21

Collatz Trajectory (217 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.

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