λ
Prime Ledger

6,825,440

25 × 5 × 29 × 1471
Abundant Even Composite

6,825,440 has the prime decomposition 2^5 × 5 × 29 × 1471. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 5 × 29 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,692,480
Proper Divisor Sum 9,867,040
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6825439 ← → #6825451

Radix Representation

Decimal 6825440
Binary 11010000010010111100000 (23 bits)
Octal 0o32022740
Hexadecimal 0x6825E0

Divisor Catalog (5 of 48)

1 2 4 5 8

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.

6,825,440 3,412,720 1,706,360 853,180 426,590

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