λ
Integer Codex

5,251,500

22 × 33 × 53 × 389
Abundant Even Composite

For 5,251,500, the 96 positive divisors have a total of 17,035,200. Removing 5,251,500 leaves 11,783,700, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3^3 × 5^3 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 17,035,200
Proper Divisor Sum 11,783,700
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5251481 ← → #5251507

Radix Representation

Decimal 5251500
Binary 10100000010000110101100 (23 bits)
Octal 0o24020654
Hexadecimal 0x5021AC

Divisor Catalog (5 of 96)

1 2 3 4 5

Collatz Trajectory (126 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.

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