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Math Directory

5,776,200

23 × 32 × 52 × 3209
Abundant Even Composite

5,776,200 factors as 2^3 × 3^2 × 5^2 × 3209. Its 72 positive divisors give a proper-divisor sum of 13,628,250, so this integer is abundant. The Collatz stopping time is 258 steps.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 3209
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 19,404,450
Proper Divisor Sum 13,628,250
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5776193 ← → #5776201

Radix Representation

Decimal 5776200
Binary 10110000010001101001000 (23 bits)
Octal 0o26021510
Hexadecimal 0x582348

Divisor Catalog (5 of 72)

1 2 3 4 5

Collatz Trajectory (258 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.

5,776,200 2,888,100 1,444,050 722,025 2,166,076

More profiles

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