Properties of the Number 8546

Eight Thousand Five Hundred Forty-Six

Basics

Value: 8545 → 8546 → 8547

Parity: even

Prime: No

Previous Prime: 8543

Next Prime: 8563

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 4273

Divisors: 1, 2, 4273, 8546

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101100010

Octal: 20542

Duodecimal: 4B42

Hexadecimal: 2162

Square: 73034116

Square Root: 92.44457799135652

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+1)X(n+1) 0..k arrays with the array of 2X2 subblock determinants antisymmetric and no off-diagonal 2X2 subblock determinant zero. A187521

Sum of odd-indexed primes. A77131

a(n) = ∑_i=0..n-1 (1 + (-1)^n-1-i)/2 * ∑_j=0..i a(j)*a(i-j) for n > 0, with a(0) = 1. A85139

a(n) = 81·n² - 118·n + 43. A156677

Irregular triangle read by rows: T(n,k) is the number of connected subsets of k edges (or polysticks) of the n-th Johnson solid, up to symmetries of that solid; 1 <= n <= 92, 1 <= k <= A242732(n). A384378

Antidiagonal sums of the convolution array A213753. A213755

Number of positive integers <= 2ⁿ of the form 3·x² + 4·y². A49

Row sums of triangle A143102. A143103

Transform of the finite sequence (1, 0, -1, 0, 1, 0, -1) by the T_1,1 transform (see link). A159331

Let f(m) = number of steps needed to reach a Harshad number when the map k->A062028(l) is iterated starting at m; a(n) = smallest m such that f(m) = n. A181664