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Math Directory

4,606,300

22 × 52 × 73 × 631
Abundant Even Composite

4,606,300 factors as 2^2 × 5^2 × 73 × 631. Its 36 positive divisors give a proper-divisor sum of 5,542,356, so this integer is abundant. The Collatz stopping time is 162 steps.

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Prime Factor Structure

Factorization String 2^2 × 5^2 × 73 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,148,656
Proper Divisor Sum 5,542,356
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4606249 ← → #4606313

Radix Representation

Decimal 4606300
Binary 10001100100100101011100 (23 bits)
Octal 0o21444534
Hexadecimal 0x46495C

Divisor Catalog (5 of 36)

1 2 4 5 10

Collatz Trajectory (162 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.

4,606,300 2,303,150 1,151,575 3,454,726 1,727,363

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