λ
Integer Codex

6,745,680

24 × 35 × 5 × 347
Abundant Even Composite

For 6,745,680, the 120 positive divisors have a total of 23,560,992. Removing 6,745,680 leaves 16,815,312, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^4 × 3^5 × 5 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 23,560,992
Proper Divisor Sum 16,815,312
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6745679 ← → #6745691

Radix Representation

Decimal 6745680
Binary 11001101110111001010000 (23 bits)
Octal 0o31567120
Hexadecimal 0x66EE50

Divisor Catalog (5 of 120)

1 2 3 4 5

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.

6,745,680 3,372,840 1,686,420 843,210 421,605

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