Properties of the Number 4744

Four Thousand Seven Hundred Forty-Four

Basics

Value: 4743 → 4744 → 4745

Parity: even

Prime: No

Previous Prime: 4733

Next Prime: 4751

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 593

Divisors: 1, 2, 4, 8, 593, 1186, 2372, 4744

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010001000

Octal: 11210

Duodecimal: 28B4

Hexadecimal: 1288

Square: 22505536

Square Root: 68.87670143089025

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

Triangle read by rows: T(n,k)=number of tilings of a 2 X n grid with k pieces of 1 X 2 tiles (in horizontal position) and 2n-2k pieces of 1 X 1 tiles (0<=k<=n). A123521

Expansion of (2/(3·sqrt(1-4·z)-1+4·z))*((1-sqrt(1-4·z))/(2·z))^k with k=7. A172064

Expansion of g.f. (1 - 5·x + 6·x² - x³)/((1 - 2·x)*(1 - 4·x + 2·x²)). A24175

Number of partitions of n where the difference between consecutive parts is at most 8. A238868

Number of strict integer partitions of n such that every pair of distinct parts has a different product. A325855

Partial sums of floor(n²/8). A122046

Number of ways to place n non-attacking bishops on a 2 X 2n board. A199033

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the minimum plus the upper median equal to the lower median plus the maximum in every 2X2 subblock. A235893

Numbers in which 4 outnumbers all other digits together. A292734

Numbers n such that n!10-1 is prime. A204658