λ
Integer Codex

7,618,500

22 × 32 × 53 × 1693
Abundant Even Composite

For 7,618,500, the 72 positive divisors have a total of 24,048,024. Removing 7,618,500 leaves 16,429,524, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^3 × 1693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 24,048,024
Proper Divisor Sum 16,429,524
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7618459 ← → #7618517

Radix Representation

Decimal 7618500
Binary 11101000011111111000100 (23 bits)
Octal 0o35037704
Hexadecimal 0x743FC4

Divisor Catalog (5 of 72)

1 2 3 4 5

Collatz Trajectory (129 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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