λ
Math Directory

6,447,762

2 × 35 × 13267
Abundant Even Composite

6,447,762 factors as 2 × 3^5 × 13267. Its 24 positive divisors give a proper-divisor sum of 8,040,894, so this integer is abundant. The Collatz stopping time is 116 steps.

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Prime Factor Structure

Factorization String 2 × 3^5 × 13267
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,488,656
Proper Divisor Sum 8,040,894
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6447757 ← → #6447767

Radix Representation

Decimal 6447762
Binary 11000100110001010010010 (23 bits)
Octal 0o30461222
Hexadecimal 0x626292

Divisor Catalog (5 of 24)

1 2 3 6 9

Collatz Trajectory (116 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.

6,447,762 3,223,881 9,671,644 4,835,822 2,417,911

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