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Math Directory

4,884,400

24 × 52 × 12211
Abundant Even Composite

4,884,400 factors as 2^4 × 5^2 × 12211. Its 30 positive divisors give a proper-divisor sum of 6,851,332, so this integer is abundant. The Collatz stopping time is 175 steps.

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Prime Factor Structure

Factorization String 2^4 × 5^2 × 12211
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 11,735,732
Proper Divisor Sum 6,851,332
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4884377 ← → #4884401

Radix Representation

Decimal 4884400
Binary 10010101000011110110000 (23 bits)
Octal 0o22503660
Hexadecimal 0x4A87B0

Divisor Catalog (5 of 30)

1 2 4 5 8

Collatz Trajectory (175 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.

4,884,400 2,442,200 1,221,100 610,550 305,275

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