Properties of the Number 8253

Eight Thousand Two Hundred Fifty-Three

Basics

Value: 8252 → 8253 → 8254

Parity: odd

Prime: No

Previous Prime: 8243

Next Prime: 8263

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 131

Divisors: 1, 3, 7, 9, 21, 63, 131, 393, 917, 1179

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000111101

Octal: 20075

Duodecimal: 4939

Hexadecimal: 203d

Square: 68112009

Square Root: 90.84602357836033

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

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (3,4,4,...) and super- and subdiagonals (1,1,1,...). A124574

Arrays of dumbbells. A2940

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252640

a(n) = sum of squares of first n odd primes. A133547

Numbers n such that 30n+{11, 13, 17, 19, 23} are 5 consecutive primes. A182279

Minimal k > n such that (4·k+3·n) * (4·n+3·k) is a square. A83752

Sum of the first n pairs of consecutive primes (for example, a(3) = (2+3) + (3+5) + (5+7) = 25). A102724

Sums of three Mersenne primes. A174055

Numbers which are the product of two S-primes (A057948) in exactly two ways. A343827

The Wiener index of the para-polyphenyl chain with n hexagons (see the Dou et al. and the Deng references). A216112