Properties of the Number 17166

Seventeen Thousand One Hundred Sixty-Six

Basics

Value: 17165 → 17166 → 17167

Parity: even

Prime: No

Previous Prime: 17159

Next Prime: 17167

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2861

Divisors: 1, 2, 3, 6, 2861, 5722, 8583, 17166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100001100001110

Octal: 41416

Duodecimal: 9B26

Hexadecimal: 430e

Square: 294671556

Square Root: 131.01908257959983

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(k+1) 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock differing from each horizontal or vertical neighbor. A205520

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8. A252053

a(n) = ∑_k=1..n binomial(floor(n/k)+2,3). A364970

Mixed partitions of n. A2096

a(n) is the sum of the n-th row of the triangle formed by replacing each m in Pascal's triangle with σ(m). A74801

Sequence generated from Lim:_{n..inf.} Mⁿ, M = an infinite lower triangular matrix with (1,3,3,3,...) in every column, shifted down twice. A171370

Number of iterations to reach a final state for an n X n lattice of sandpiles on a torus according to rules specified in the comment section. A249872

a(n) = ∑_{k=0..floor(n/4)} (-1)^k * binomial(n-1-3·k,n-4·k) * binomial(2·k,k). A360315

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) + 1, where a(0) = 1, a(1) = 5, b(0) = 2, b(1) = 3, b(2) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A295959

a(n) is the Wiener index of a tridon on n vertices. A349418