λ
Integer Codex

5,284,400

24 × 52 × 11 × 1201
Abundant Even Composite

For 5,284,400, the 60 positive divisors have a total of 13,861,464. Removing 5,284,400 leaves 8,577,064, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^4 × 5^2 × 11 × 1201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 13,861,464
Proper Divisor Sum 8,577,064
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5284393 ← → #5284417

Radix Representation

Decimal 5284400
Binary 10100001010001000110000 (23 bits)
Octal 0o24121060
Hexadecimal 0x50A230

Divisor Catalog (5 of 60)

1 2 4 5 8

Collatz Trajectory (157 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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