Properties of the Number 8053

Eight Thousand Fifty-Three

Basics

Value: 8052 → 8053 → 8054

Parity: odd

Prime: Yes

Previous Prime: 8039

Next Prime: 8059

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 8053

Divisors: 1, 8053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101110101

Octal: 17565

Duodecimal: 47B1

Hexadecimal: 1f75

Square: 64850809

Square Root: 89.73850901368932

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 with first digit 8. A45714

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero. A232076

X-toothpick sequence on Z³ lattice (see Comments for precise definition). A160170

Number of distinct means of nonempty subsets of {1,...,n}. A135342

a(1) = 9; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74345

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302381

T(n,k) = Number of n X k 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302953

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303102

Mother primes of order 5. A136064

Primes that are palindromic in base 7. A29975