λ
Prime Ledger

7,791,459

3 × 13 × 29 × 832
Deficient Odd Composite

7,791,459 has the prime decomposition 3 × 13 × 29 × 83^2. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 3 × 13 × 29 × 83^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,714,640
Proper Divisor Sum 3,923,181
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7791451 ← → #7791467

Radix Representation

Decimal 7791459
Binary 11101101110001101100011 (23 bits)
Octal 0o35561543
Hexadecimal 0x76E363

Divisor Catalog (5 of 24)

1 3 13 29 39

Collatz Trajectory (173 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.

7,791,459 23,374,378 11,687,189 35,061,568 17,530,784

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