login
A346560
Irregular table read by rows: row n lists the numbers m such that in base n the sum of digits of the divisors of m equals m, where m is written in base 10.
2
1, 2, 3, 6, 1, 6, 1, 4, 1, 9, 1, 16, 1, 30, 1, 8, 18, 28, 1, 10, 1, 15, 1, 14, 1, 21, 36, 1, 1, 27, 1, 22, 30, 1, 16, 1, 26, 56, 90, 120, 1, 1, 42, 1, 1, 34, 1, 64, 1, 38, 54, 1, 88, 1, 168, 240, 1, 1, 46, 66, 1, 1, 140, 1, 1, 78, 360, 1, 32, 1, 58, 1, 45, 1, 62, 112, 1, 1, 240, 1, 1, 102
OFFSET
2,2
COMMENTS
See A045885 for the largest number in each base.
See A346561 for bases with no number greater than 1.
EXAMPLE
For n = 2, 6 is a term as the divisors of 6 written in base 2 are 1, 10, 11, 110, and the sum of the digits of these four divisors is 6.
For n = 10, 15 is a term as the divisors of 15 written in base 10 are 1, 3, 5, 15, and the sum of the digits of these four divisors is 15.
For n = 17, 26 is a term as the divisors of 26 written in base 17 are 1, 2, D, 19 (where 'D' is 13_10) and the sum of the digits of these four divisors is 26.
.
The table begins:
1,2,3,6;
1,6;
1,4;
1,9;
1,16;
1,30;
1,8,18,28;
1,10;
1,15;
1,14;
1,21,36;
1;
1,27;
1,22,30;
1,16;
1,26,56,90,120;
1;
1,42;
1;
1,34;
1,64;
1,38,54;
1,88;
1,168,240;
CROSSREFS
Cf. A045885 (largest number in each base), A346561 (bases with no number > 1), A045884, A027750.
Sequence in context: A319191 A124795 A368547 * A084459 A093095 A260611
KEYWORD
nonn,base,tabf
AUTHOR
Scott R. Shannon, Jul 23 2021
STATUS
approved