A161894 Small factors of some highly composite numbers.
1, 1, 2, 4, 12, 24, 72, 72, 288, 1440, 1440, 10080, 10080, 10080, 30240, 30240, 100800, 100800, 907200, 907200, 907200, 6350400, 9979200, 9979200, 69854400, 69854400, 69854400, 129729600, 129729600, 259459200, 1210809600, 1816214400, 3632428800, 3632428800
Offset: 1
Examples
For example a(24)=9979200, p(24) = 23768741896345550770650537601358310 and c(24) = 237193029132011520250475844831474847152000. Every other number n < c(24) has fewer than tau(c(24))=905969664 divisors and c(1),...,c(23) have fewer than 24 distinct factors. The sequence of corresponding highly composite numbers starts 2 6 60 840 27720 720720 36756720 698377680 64250746560 9316358251200 288807105787200 74801040398884800 3066842656354276800 131874234223233902400 18594267025475980238400 985496152350226952635200 193814243295544634018256000 11822668841028222675113616000 7129069311140018273093510448000 506163921090941297389639241808000 36949966239638714709443664651984000 20433331330520209234322346552547152000 2665090214966421575848043200353649968000 237193029132011520250475844831474847152000 For n > 1 this sequence is conjectured to be a subsequence of A161812.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..1229
Extensions
More terms from Amiram Eldar, Aug 21 2019
Comments