Properties of the Number 8564

Eight Thousand Five Hundred Sixty-Four

Basics

Value: 8563 → 8564 → 8565

Parity: even

Prime: No

Previous Prime: 8563

Next Prime: 8573

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 2141

Divisors: 1, 2, 4, 2141, 4282, 8564

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000101110100

Octal: 20564

Duodecimal: 4B58

Hexadecimal: 2174

Square: 73342096

Square Root: 92.5418824100742

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 inversion sequences of length n avoiding the consecutive patterns 000 and 001. A328436

T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest or the sum of the elements antidiagonally to its northeast, modulo 4. A240250

Numbers n such that the decimal number concat(5,n) is a square. A273360

Numbers that are the sum of nine fourth powers in seven or more ways. A345591

Numbers that are the sum of nine fourth powers in eight or more ways. A345592

Numbers that are the sum of nine fourth powers in exactly eight ways. A345850

Sum of first n perfect powers. A76408

Smallest even fundamental discriminant k such that h(-k) = 2n, where h(D) is the class number of the quadratic field with discriminant D; or 0 if no such k exists. A344072

a(n) is the surface area of the stepped pyramid with n levels described in A245092. A328366

E.g.f. A(x) satisfies A(x) = exp( x/A(-x·A(x))³ ). A384855