λ
Sequence Observatory

6,829,296

24 × 3 × 73 × 1949
Abundant Even Composite

Starting at 6,829,296, the Collatz iteration reaches 1 after 116 steps. The first transition is 3414648; the starting value is even with 40 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 3 × 73 × 1949
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,893,200
Proper Divisor Sum 11,063,904
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6829283 ← → #6829301

Radix Representation

Decimal 6829296
Binary 11010000011010011110000 (23 bits)
Octal 0o32032360
Hexadecimal 0x6834F0

Divisor Catalog (5 of 40)

1 2 3 4 6

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.

6,829,296 3,414,648 1,707,324 853,662 426,831

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