A226024 Integers n such that (sum of digits of 10234*n) = n.

10, 13, 15, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 32, 34, 37, 38

Offset

1,1

Comments

Inspired by Carmine Suriano's comment in A113315.

Proof that 38 is the highest value: 10234*38=388892 has 6 digits. Maximum value of digitsum for a 6-digit numer is 54. Direct inspection of digitsum of 10234*39=399126 through 10234*54=552637 shows that no other solution exists. For numbers 55 through 97, direct inspection shows that no other solution exists either. For n>97, the number has 7 digits, having 63 as its maximum digitsum; therefore, no solution exists for any number >97. - Carmine Suriano, Sep 23 2013

Links

Table of n, a(n) for n=1..17.

Example

A007953(10234*n) = n.

Crossrefs

Cf. A005349, A007953, A113315.

Sequence in context: A247464 A219110 A377911 * A134651 A135548 A102502

Adjacent sequences: A226021 A226022 A226023 * A226025 A226026 A226027

Keyword

base,nonn,fini,full

Author

Zak Seidov, May 23 2013

Status

approved