Super-6 Numbers

The number associated with my diurnal age yesterday (27257) is a super-6 number. This means that $6 \times 27257^6$ has a run of six consecutive digits of 6 within it, specifically:

$$6 \times 27257^6=2460478505381\underline{666666}506497894$$ This number is the first member of the sequence OEIS A032746. The initial members are:

27257, 272570, 302693, 323576, 364509, 502785, 513675, 537771, 676657, 678146, 731378, 831122, 836553, 913797, 920456, 921269, 1045361, 1144983, 1169054, 1283069, 1288697, 1292673, 1343642, 1346117, 1472078, 1523993, 1640026

27257 is the first super-6 number

The generalization of super-6 numbers is super-$d$ numbers and I've written about these types of numbers in posts titled Super-d Numbers Revisited on March 25th 2023 and also Super-d Numbers on February 10th 2022. Permalink.