λ
Integer Codex

6,981,576

23 × 3 × 7 × 29 × 1433
Abundant Even Composite

For 6,981,576, the 64 positive divisors have a total of 20,649,600. Removing 6,981,576 leaves 13,668,024, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 29 × 1433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,649,600
Proper Divisor Sum 13,668,024
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6981563 ← → #6981593

Radix Representation

Decimal 6981576
Binary 11010101000011111001000 (23 bits)
Octal 0o32503710
Hexadecimal 0x6A87C8

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (178 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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