λ
Sigma Notebook

7,779,729

3 × 31 × 83653
Deficient Odd Composite

7,779,729 is odd and not a perfect square. Its factorization is 3 × 31 × 83653 and its 8 divisors sum to 10,707,712.

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Prime Factor Structure

Factorization String 3 × 31 × 83653
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,707,712
Proper Divisor Sum 2,927,983
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #7779719 ← → #7779763

Radix Representation

Decimal 7779729
Binary 11101101011010110010001 (23 bits)
Octal 0o35532621
Hexadecimal 0x76B591

Divisor Catalog (5 of 8)

1 3 31 93 83,653

Collatz Trajectory (186 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.

7,779,729 23,339,188 11,669,594 5,834,797 17,504,392

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