Properties of the Number 6944

Six Thousand Nine Hundred Forty-Four

Basics

Value: 6943 → 6944 → 6945

Parity: even

Prime: No

Previous Prime: 6917

Next Prime: 6947

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 7 × 31

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 31, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100100000

Octal: 15440

Duodecimal: 4028

Hexadecimal: 1b20

Square: 48219136

Square Root: 83.33066662399864

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

Jordan function J₃(n). A59376

Sum of the sizes of the Durfee squares of all partitions of n. A115995

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302322

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) = 2. A50049

Numbers k such that σ(x) = k has exactly 6 solutions. A60662

T(n,k) = number of n X k 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302820

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303016

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303513

Numbers k that divide the sum of digits of 13^k. A175525

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101. A260015