Properties of the Number 84684

Eighty-Four Thousand Six Hundred Eighty-Four

Basics

Value: 84683 → 84684 → 84685

Parity: even

Prime: No

Previous Prime: 84673

Next Prime: 84691

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7057

Divisors: 1, 2, 3, 4, 6, 12, 7057, 14114, 21171, 28228

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100101011001100

Octal: 245314

Duodecimal: 41010

Hexadecimal: 14acc

Square: 7171379856

Square Root: 291.0051545935226

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 every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253524

a(-1) = 2, a(n) = a(n-1)² + n. A153061

Number of finite edges in the graph formed when every pair of vertices of a row of n adjacent congruent rectangles are joined by an infinite line. A347751

Number of nX2 0..1 arrays with no more than floor(nX2/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222535

a(n) = ceiling((n+1/n)⁴). A197903

Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253519

Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253520

Degrees of certain maps (see Comments and Formulas for more precise definitions). A84684

Binomial convolution of the binomial coefficients bin(3n,n) (A005809). A188911