Properties of the Number 2838

Two Thousand Eight Hundred Thirty-Eight

Basics

Value: 2837 → 2838 → 2839

Parity: even

Prime: No

Previous Prime: 2837

Next Prime: 2843

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 × 43

Divisors: 1, 2, 3, 6, 11, 22, 33, 43, 66, 86

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 101100010110

Octal: 5426

Duodecimal: 1786

Hexadecimal: b16

Square: 8054244

Square Root: 53.27288240746881

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

Triangular matchstick numbers: a(n) = 3·n*(n+1)/2. A45943

3 times hexagonal numbers: a(n) = 3·n*(2·n-1). A94159

G.f.: 1/((1-x)*(1-x²))³. A38163

a(n) = n*(n + 23). A132765

Numbers k such that A380845(k) = 2·k. A380846

T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302081

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 3 6 or 7 and every diagonal and antidiagonal sum 2 3 6 or 7. A251894

Growth function (or coordination sequence) of the infinite cubic graph corresponding to the srs net (a(n) = number of nodes at distance n from a fixed node). A38620

Numbers k such that A136675(k) is prime. A136683

Number of binary strings of length n with equal numbers of 010 and 101 substrings. A164146