λ
Integer Codex

6,727,296

27 × 3 × 17519
Abundant Even Composite

For 6,727,296, the 32 positive divisors have a total of 17,870,400. Removing 6,727,296 leaves 11,143,104, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^7 × 3 × 17519
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,870,400
Proper Divisor Sum 11,143,104
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6727283 ← → #6727297

Radix Representation

Decimal 6727296
Binary 11001101010011010000000 (23 bits)
Octal 0o31523200
Hexadecimal 0x66A680

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (222 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.

6,727,296 3,363,648 1,681,824 840,912 420,456

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