Properties of the Number 4743

Four Thousand Seven Hundred Forty-Three

Basics

Value: 4742 → 4743 → 4744

Parity: odd

Prime: No

Previous Prime: 4733

Next Prime: 4751

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 31

Divisors: 1, 3, 9, 17, 31, 51, 93, 153, 279, 527

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001010000111

Octal: 11207

Duodecimal: 28B3

Hexadecimal: 1287

Square: 22496049

Square Root: 68.86944169949398

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

Number of partitions of n having a non-integer median. A307683

Number T(n,k) of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A262125

a(n) = (5·n-7)*(n-1). A147874

Molien series for invariants of finite Coxeter group A₇. A266776

Sum of the largest parts of the partitions of n into 10 squarefree parts. A326637

Numbers n such that A003313(n) = A003313(2n). A86878

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 0 1 vertically. A208039

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252210

Numbers n such that n is a substring of its square in base 5 (written in base 10). A18829

Expansion of g.f. (1 + x + 2·x²)/((1 - x)³*(1 - x³)). A92498