λ
Prime Ledger

2,400,099

3 × 13 × 19 × 41 × 79
Deficient Odd Composite

2,400,099 has the prime decomposition 3 × 13 × 19 × 41 × 79. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 3 × 13 × 19 × 41 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,763,200
Proper Divisor Sum 1,363,101
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2400089 ← → #2400107

Radix Representation

Decimal 2400099
Binary 1001001001111101100011 (22 bits)
Octal 0o11117543
Hexadecimal 0x249F63

Divisor Catalog (5 of 32)

1 3 13 19 39

Collatz Trajectory (161 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.

2,400,099 7,200,298 3,600,149 10,800,448 5,400,224

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