8400511
domain: N
Appears in sequences
- n sets a record for the number of primes in {n, f(n), f(f(n)), ..., 1}, where f is the Collatz function defined by f(x) = x/2 if x is even; f(x) = 3x + 1 if x is odd.at n=26A078373
- Record n for the sequence A006666(n)/log(n), for n > 1; i.e., the n at which the number of steps to 1 for the halving-Collatz iteration divided by log(n) sets a new maximum.at n=11A123481
- Numbers n such that the ratio of tripling steps to halving steps in the Collatz (3x+1) trajectory of n is greater than all previous ratios.at n=12A248037
- Numbers that have the largest Collatz total stopping time of all numbers below 10^n. The smallest number is chosen in case of ties.at n=6A284668
- Inputs n that yield a record-breaking value of A008908(n)/(log_2(n)+1) for the Collatz conjecture.at n=18A339614