Properties of the Number 17015

Seventeen Thousand Fifteen

Basics

Value: 17014 → 17015 → 17016

Parity: odd

Prime: No

Previous Prime: 17011

Next Prime: 17021

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 41 × 83

Divisors: 1, 5, 41, 83, 205, 415, 3403, 17015

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100001001110111

Octal: 41167

Duodecimal: 9A1B

Hexadecimal: 4277

Square: 289510225

Square Root: 130.4415577950524

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

Number of inequivalent (mod D₈) ways to place 3 nonattacking knights on an n X n board. A243718

T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186484

G.f. A(x) = ∑_n>=0 xⁿ/a(n) satisfies: A(x) = A(x²) + Integral A(x²) dx. A294640

Row sums of triangle A099514, so that a(n) = ∑_k=0..n coefficient of z^k in (1 + z + 2·z²)^n-[k/2], where [k/2] is the integer floor of k/2. A99515

T(n,m)=Number of (n+1)X4 0..m arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A188058

Unique terms in sequence A294640, in order by size. A294641

Number of (n+1)X(n+1) 0..4 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186483

Numbers k such that 3·10^k - 97 is prime. A290577

Number of Dumont permutations of the first kind of length 2n avoiding pattern 2143 (or pattern 3421). A308750

a(n) = (7·n + 2)¹¹. A17015