Properties of the Number 51891

Fifty-One Thousand Eight Hundred Ninety-One

Basics

Value: 51890 → 51891 → 51892

Parity: odd

Prime: No

Previous Prime: 51871

Next Prime: 51893

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 ² × 353

Divisors: 1, 3, 7, 21, 49, 147, 353, 1059, 2471, 7413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101010110011

Octal: 145263

Duodecimal: 26043

Hexadecimal: cab3

Square: 2692675881

Square Root: 227.7959613338217

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 nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array. A220010

Number of partitions of n such that 4*(greatest part) >= (number of parts). A347868

Numbers k such that prime(prime(k)) + 2 == 0 (mod prime(k)), where prime(p)=A000040(p) is the p-th prime. A156148

Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 3Xn array. A220012

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 123", based on the 5-celled von Neumann neighborhood. A270212

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A381649. A381648

Numbers n such that (n⁶ + 1091)/4 is prime. A181112

Values of m, the main key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes. A51891