Properties of the Number 21194

Twenty-One Thousand One Hundred Ninety-Four

Basics

Value: 21193 → 21194 → 21195

Parity: even

Prime: No

Previous Prime: 21193

Next Prime: 21211

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 10597

Divisors: 1, 2, 10597, 21194

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001011001010

Octal: 51312

Duodecimal: 10322

Hexadecimal: 52ca

Square: 449185636

Square Root: 145.58159224297555

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+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1. A256029

a(n) = Fibonacci(p) mod p², where p = prime(n). A236395

Number of integer partitions of n whose multiset multiplicity kernel is a submultiset. A367684

Numerators of continued fraction convergents to sqrt(114). A41206

Least positive k such that k * [RSA-200]ⁿ - 1 is prime, where RSA-200 is the 200 decimal digit RSA challenge number A391940(15). A108375

G.f. A(x) satisfies: A( x - A(x⁴)/x² ) = x. A272461

Expansion of (1+x²)/((1-x)²*(1-x²)²*(1-x³)²*(1-x⁸)*(1-x⁹)*(1-x¹⁰)). A69956

Number of binary words of length n with properties that there is no pair of adjacent 1's and no subword of the form X⁴ for any string X. A170877

Numbers k such that k² + 1 = p·q, p and q primes and |p-q| is square. A187401

Number of (n+2) X (1+2) 0..1 arrays with no 3·3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1. A256022