λ
Prime Ledger

5,198,778

2 × 32 × 132 × 1709
Abundant Even Composite

5,198,778 has the prime decomposition 2 × 3^2 × 13^2 × 1709. Its 4 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^2 × 13^2 × 1709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,204,270
Proper Divisor Sum 7,005,492
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5198749 ← → #5198789

Radix Representation

Decimal 5198778
Binary 10011110101001110111010 (23 bits)
Octal 0o23651672
Hexadecimal 0x4F53BA

Divisor Catalog (5 of 36)

1 2 3 6 9

Collatz Trajectory (144 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.

5,198,778 2,599,389 7,798,168 3,899,084 1,949,542

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