λ
Prime Ledger

6,744,320

28 × 5 × 11 × 479
Abundant Even Composite

6,744,320 has the prime decomposition 2^8 × 5 × 11 × 479. Its 4 distinct prime factors produce 72 positive divisors.

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Prime Factor Structure

Factorization String 2^8 × 5 × 11 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 17,660,160
Proper Divisor Sum 10,915,840
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6744319 ← → #6744347

Radix Representation

Decimal 6744320
Binary 11001101110100100000000 (23 bits)
Octal 0o31564400
Hexadecimal 0x66E900

Divisor Catalog (5 of 72)

1 2 4 5 8

Collatz Trajectory (108 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.

6,744,320 3,372,160 1,686,080 843,040 421,520

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