Properties of the Number 6813

Six Thousand Eight Hundred Thirteen

Basics

Value: 6812 → 6813 → 6814

Parity: odd

Prime: No

Previous Prime: 6803

Next Prime: 6823

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 757

Divisors: 1, 3, 9, 757, 2271, 6813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010011101

Octal: 15235

Duodecimal: 3B39

Hexadecimal: 1a9d

Square: 46416969

Square Root: 82.54089895318563

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

sigma₃(n): sum of cubes of divisors of n. A1158

Coefficients in q-expansion of (E₂*E₄ - E₆)/720, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A281372

Numbers k such that k³ divides 10^k² - 1. A177243

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241306

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001. A260177

Expansion of Molien series for 8-dimensional real Clifford group 2¹⁺⁶.Alt₈.2 of genus 3 and order 5160960. A24186

Numbers k such that k⁷ starts with k itself (in base 10). A233453

Base 3 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0. A33139

Smallest number whose sixth power has n digits. A130080

a(0)=1, a(n) = sigma₃(2n). A91986