λ
Sigma Notebook

5,319,600

24 × 3 × 52 × 11 × 13 × 31
Abundant Even Composite

5,319,600 is even and not a perfect square. Its factorization is 2^4 × 3 × 5^2 × 11 × 13 × 31 and its 240 divisors sum to 20,665,344.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 11 × 13 × 31
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 240
Divisor Sum (σ) 20,665,344
Proper Divisor Sum 15,345,744
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5319571 ← → #5319637

Radix Representation

Decimal 5319600
Binary 10100010010101110110000 (23 bits)
Octal 0o24225660
Hexadecimal 0x512BB0

Divisor Catalog (5 of 240)

1 2 3 4 5

Collatz Trajectory (82 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.

5,319,600 2,659,800 1,329,900 664,950 332,475

More profiles

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