Properties of the Number 72243

Seventy-Two Thousand Two Hundred Forty-Three

Basics

Value: 72242 → 72243 → 72244

Parity: odd

Prime: No

Previous Prime: 72229

Next Prime: 72251

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 23 × 349

Divisors: 1, 3, 9, 23, 69, 207, 349, 1047, 3141, 8027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101000110011

Octal: 215063

Duodecimal: 35983

Hexadecimal: 11a33

Square: 5219051049

Square Root: 268.78057965559935

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to 3 4 or 5. A251351

Number of self-inverse permutations p on [n] where the maximal displacement of an element equals 2. A238913

Number of (n+1) X (1+1) 0..2 arrays with every 2 X 2 subblock summing to 3 4 or 5. A251344

Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock summing to 3 4 or 5. A251348

Number of distinct partitions of n². A72243

a(1)=0, a(1)=1, a(n+2)=abs(concatenate(a(n+1)a(n))-concatenate(a(n)a(n+1))). A70823