Properties of the Number 8643

Eight Thousand Six Hundred Forty-Three

Basics

Value: 8642 → 8643 → 8644

Parity: odd

Prime: No

Previous Prime: 8641

Next Prime: 8647

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 43 × 67

Divisors: 1, 3, 43, 67, 129, 201, 2881, 8643

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000111000011

Octal: 20703

Duodecimal: 5003

Hexadecimal: 21c3

Square: 74701449

Square Root: 92.96773633901172

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)=Half the number of (n+1)X(k+1) binary arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A184614

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically. A208013

Numbers n such that there are precisely 5 groups of orders n and n + 1. A295991

Triangle T(n,k) giving number of immersions of the oriented circle into the oriented plane with n double points and index k, k = -n-1, -n+1, ..., n-1, n+1. A8985

Number of immersions of the oriented circle into the oriented plane with n double points and index n-1. A8984

McKay-Thompson series of class 16C for the Monster group with a(0) = 4. A214035

Expansion of (1/q) * φ(-q) * φ(q⁴) / (φ(q) * ψ(q⁸)) in powers of q where φ(), ψ() are Ramanujan θ functions. A215346

2n concatenated with n. A235497

McKay-Thompson series of class 16C for the Monster group with a(0) = 2. A176143

McKay-Thompson series of class 16C for Monster. A58516