Properties of the Number 5744

Five Thousand Seven Hundred Forty-Four

Basics

Value: 5743 → 5744 → 5745

Parity: even

Prime: No

Previous Prime: 5743

Next Prime: 5749

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 359

Divisors: 1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1011001110000

Octal: 13160

Duodecimal: 33A8

Hexadecimal: 1670

Square: 32993536

Square Root: 75.78918128598566

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers k such that k²⁵⁶ + 1 is prime. A56995

T(n,k) is the number of strictly increasing arrangements of n numbers in -(n+k-2)..(n+k-2) with sum zero. A188181

a(n) = ∑_k=1..n binomial(n,k) * d(k), where d(k) = the number of positive divisors of k. A160399

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with every occupancy equal to zero or two. A221419

Smallest number m such that m²+1 is divisible by A002144(n)² (= squares of primes congruent to 1 mod 4). A59321

Number of ways to toss a coin n times and not get a run of five. A135492

Expansion of q * ψ(q⁸) / φ(-q) in powers of q where ψ(), φ() are Ramanujan θ functions. A123655

Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)ⁿ⁺¹*p(n, x)/x, p(n, x) = x·D( p(n-1, x) ), with p(1, x) = x/(1-x)², p(2, x) = x*(1+x)/(1-x)³, and p(3, x) = x*(1+12·x+x²)/(1-x)⁴, read by rows. A166343

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) = number of distinct parts of p. A241820

Number of connected dominating sets in the n-triangular grid graph. A288721