Properties of the Number 10667

Ten Thousand Six Hundred Sixty-Seven

Basics

Value: 10666 → 10667 → 10668

Parity: odd

Prime: Yes

Previous Prime: 10663

Next Prime: 10687

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 10667

Divisors: 1, 10667

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110101011

Octal: 24653

Duodecimal: 620B

Hexadecimal: 29ab

Square: 113784889

Square Root: 103.2811696293182

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

Primes of the form 4·k² + 4·k + 59. A48988

Numbers k such that (11^k - 3^k)/8 is prime. A128027

Lower prime of a difference of 20 between consecutive primes. A31938

O.g.f. A(x) satisfies: 0 = [xⁿ] exp( n² * Integral A(x)⁴ dx ) / A(x), for n > 0. A305143

a(0) = 2; a(n) for n > 0 is the smallest prime greater than a(n-1) that differs from a(n-1) by a square. A73609

Primes p = p_n+1 such that p_n + p_n+2 = 2·p_n+1 + 16. A95651

Primes p with prime(p) + 2 and prime(p) + 6 both prime. A236464

Number of ways 1/n can be expressed as the sum of four distinct unit fractions: 1/n = 1/w + 1/x + 1/y + 1/z satisfying 0 < w < x < y < z. A241883

Primes of the form 2·p+1 where p is prime and p+1 is squarefree. A153209

Primes p such that p1 = ceiling(p/2) + p is prime and p2 = floor(p1/2) + p1 is prime. A158714