λ
Integer Codex

7,706,673

32 × 13 × 199 × 331
Deficient Odd Composite

For 7,706,673, the 24 positive divisors have a total of 12,084,800. Removing 7,706,673 leaves 4,378,127, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^2 × 13 × 199 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,084,800
Proper Divisor Sum 4,378,127
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7706669 ← → #7706681

Radix Representation

Decimal 7706673
Binary 11101011001100000110001 (23 bits)
Octal 0o35314061
Hexadecimal 0x759831

Divisor Catalog (5 of 24)

1 3 9 13 39

Collatz Trajectory (279 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.

7,706,673 23,120,020 11,560,010 5,780,005 17,340,016

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