Properties of the Number 2247

Two Thousand Two Hundred Forty-Seven

Basics

Value: 2246 → 2247 → 2248

Parity: odd

Prime: No

Previous Prime: 2243

Next Prime: 2251

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 107

Divisors: 1, 3, 7, 21, 107, 321, 749, 2247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011000111

Octal: 4307

Duodecimal: 1373

Hexadecimal: 8c7

Square: 5049009

Square Root: 47.40253157796533

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) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7. A5710

Interprimes (A024675) which are of the form s·prime, s=21. A75296

a(n) = 2·n² - 2·n + 3. A97080

Numbers n such that φ(n,x) is a flat cyclotomic polynomial of order three. A117223

Numbers k such that 5·k + 1 is a square. A36666

Number of integer compositions of n whose leaders of strictly increasing runs are strictly decreasing. A374689

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250942

T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value 2-x(i,j). A230675

Numbers k such that φ(k) | sigma₁₃(k). A15771

a(n) = n*(2 + 5·n). A168668