λ
Integer Codex

8,275,100

22 × 52 × 83 × 997
Abundant Even Composite

For 8,275,100, the 36 positive divisors have a total of 18,191,544. Removing 8,275,100 leaves 9,916,444, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 5^2 × 83 × 997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,191,544
Proper Divisor Sum 9,916,444
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8275097 ← → #8275117

Radix Representation

Decimal 8275100
Binary 11111100100010010011100 (23 bits)
Octal 0o37442234
Hexadecimal 0x7E449C

Divisor Catalog (5 of 36)

1 2 4 5 10

Collatz Trajectory (199 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.

8,275,100 4,137,550 2,068,775 6,206,326 3,103,163

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