MathDB
Problems
Contests
National and Regional Contests
Latvia Contests
Latvia BW TST
2015 Latvia Baltic Way TST
14
14
Part of
2015 Latvia Baltic Way TST
Problems
(1)
S (n^2)/S (n) = R, sum of digits
Source: 2015 Latvia BW TST P14
12/16/2022
Let
S
(
a
)
S(a)
S
(
a
)
denote the sum of the digits of the number
a
a
a
. Given a natural
R
R
R
can one find a natural
n
n
n
such that
S
(
n
2
)
S
(
n
)
=
R
\frac{S (n^2)}{S (n)}= R
S
(
n
)
S
(
n
2
)
=
R
?
number theory
sum of digits