Properties of the Number 6723

Six Thousand Seven Hundred Twenty-Three

Basics

Value: 6722 → 6723 → 6724

Parity: odd

Prime: No

Previous Prime: 6719

Next Prime: 6733

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 83

Divisors: 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1101001000011

Octal: 15103

Duodecimal: 3A83

Hexadecimal: 1a43

Square: 45198729

Square Root: 81.99390221229869

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

a(n) = 4·n² - 1. A466

a(n) = solution to the postage stamp problem with 3 denominations and n stamps. A1208

a(n) = ∑_{j=0..2·i, i=0..n} A026584(i,j). A26599

a(n) = (4·n+1)*(4·n+3). A1539

G.f. satisfies: A(x) = (1 + x*(1-x)*A(x)) * (1 + x²*A(x)). A216604

a(n) = a(n-1) + a(m) for n >= 3, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = 3. A50069

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 10 multiples of n-1, n-2, ..., 1, for n>=1. A113747

Non-palindromic balanced numbers in base 16. A256080

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row divisible by 3 and each column divisible by 7, read as a binary number with top and left being the most significant bits. A262917

T(n,k)=Number of length-n 0..k arrays with no repeated value equal to the previous repeated value, with new values introduced in sequential order. A268956