λ
Sequence Observatory

6,851,968

27 × 199 × 269
Abundant Even Composite

Starting at 6,851,968, the Collatz iteration reaches 1 after 129 steps. The first transition is 3425984; the starting value is even with 32 positive divisors.

Resources

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Prime Factor Structure

Factorization String 2^7 × 199 × 269
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,770,000
Proper Divisor Sum 6,918,032
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6851963 ← → #6851987

Radix Representation

Decimal 6851968
Binary 11010001000110110000000 (23 bits)
Octal 0o32106600
Hexadecimal 0x688D80

Divisor Catalog (5 of 32)

1 2 4 8 16

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.

6,851,968 3,425,984 1,712,992 856,496 428,248

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