if a five digit number N is such that sum of its digit is 29, can N be square of an integer?
Suppose N be abcde, where a+b+c+d+e = 29. Can square of any number less than abcde is equal to abcde itself.
Completely struck on how to start solving.
2026-03-28 23:10:43.1774739443
Application: Sum of Digits
98 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in SUMMATION
- Computing:$\sum_{n=0}^\infty\frac{3^n}{n!(n+3)}$
- Prove that $1+{1\over 1+{1\over 1+{1\over 1+{1\over 1+...}}}}=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+...}}}}$
- Fourier series. Find the sum $\sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n+1}$
- Sigma (sum) Problem
- How to prove the inequality $\frac{1}{n}+\frac{1}{n+1}+\cdots+\frac{1}{2n-1}\geq \log (2)$?
- Double-exponential sum (maybe it telescopes?)
- Simplify $\prod_{k=1}^{l} \sum_{r=d}^m {{m}\choose{r}} \left(N-k \right)^{r} k^{m-r+1}$
- Sum of two martingales
- How can we prove that $e^{-jωn}$ converges at $0$ while n -> infinity?
- Interesting inequalities
Related Questions in REAL-NUMBERS
- How to prove $\frac 10 \notin \mathbb R $
- Possible Error in Dedekind Construction of Stillwell's Book
- Is the professor wrong? Simple ODE question
- Concept of bounded and well ordered sets
- Why do I need boundedness for a a closed subset of $\mathbb{R}$ to have a maximum?
- Prove using the completeness axiom?
- Does $\mathbb{R}$ have any axioms?
- slowest integrable sequence of function
- cluster points of sub-sequences of sequence $\frac{n}{e}-[\frac{n}{e}]$
- comparing sup and inf of two sets
Related Questions in SQUARE-NUMBERS
- Squares of two coprime numbers
- Perfect Square and its multiple
- constraints to the hamiltonian path: can one tell if a path is hamiltonian by looking at it?
- Is square root of $y^2$ for every $y>0,y\in\mathbb{R}$?
- A square root should never be negative by convention or can be proved?
- Does $x+\sqrt{x}$ ever round to a perfect square, given $x\in \mathbb{N}$?
- Proof verification: Let $gcd(x,y)=1$. If $xy$ is a perfect square, then $x$ and $y$ are perfect squares.
- How to reduce calculation time for iterative functions that involve squaring a number in every iteration. Working with numbers in millions of digits
- Digits in a perfect square problem
- Trouble with a proof. I cannot prove this without inf many proofs for each and every case.
Related Questions in DIVISOR-SUM
- Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers
- Characterize solutions of an equation involving the sum of divisors function and the Euler's totient function: Mersenne primes and Wagstaff primes
- Heuristics on the asymptotic behaviour of the divisor funcion
- What is the sum of reciprocal of product of $n$ primes?
- A reference request about the closed-form of $\sum_{n=1}^\infty\frac{\sigma(n^2)}{n^6}$, where $\sigma(n)$ denotes the sum of divisors functions
- What about the equation $\sigma(2n)=2\left(n+\sigma(n)\right),$ involving the sum of divisor function?
- Sum of non-trivial divisors of number equals number itself
- On the sum of divisors function.
- $\sigma(n) \equiv 1 \space \pmod{n}$ if and only if $n$ is prime
- Show that for $n\gt 2$, $\frac{\sigma_1(n)}{n}\lt H_n$
Related Questions in WORD-PROBLEM
- Remove and replacing of mixture in jar?
- Solving Linear System Word Problem
- Need help setting up equation for a word problem
- FM Actuary question, comparing interest rate and Discount rate
- Five tyres over $40000$ kilometres
- Followup to Stock Market Probability Question
- Word problem, system of equations - Three Variables
- Word Problem (Weight)
- Apple Cider Word Problem based on D=rt principle
- How to compare degree of invariance (with words)?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
No. The number is 2 modulo 9 (because 29 is), and squares can only have remainder 0,1,4 or 7 modulo 9 (squares of 0 to 8 reduced modulo 9). Number of digits is not needed.