Properties of the Number 19723

Nineteen Thousand Seven Hundred Twenty-Three

Basics

Value: 19722 → 19723 → 19724

Parity: odd

Prime: No

Previous Prime: 19717

Next Prime: 19727

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 11 ² × 163

Divisors: 1, 11, 121, 163, 1793, 19723

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110100001011

Octal: 46413

Duodecimal: B4B7

Hexadecimal: 4d0b

Square: 388996729

Square Root: 140.43859868284076

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

G.f. A(x,y) satisfies: A( x - x·y*A(x,y), y) = x + x*(1-y)*A(x,y), where the coefficients T(n,k) of xⁿ*y^k form a triangle read by rows n>=1, for k=0..n-1. A291820

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 101 in rows and columns. A203091

A diagonal of triangle A291820. A291822

a(n) is the total number of down-steps after the final up-step in all 3_2-Dyck paths of length 4·n (n up-steps and 3·n down-steps). A334609

Number of (n+2)X4 binary arrays avoiding patterns 000 and 101 in rows and columns. A203085

Number of (n+2)X7 binary arrays avoiding patterns 000 and 101 in rows and columns. A203088

The number of free kissing polyominoes with n cells. A376496

Convolution of odd numbers and A000201. A23658

T(2n,n), array T given by A047010. A47019

Greatest number, not divisible by 4, having exactly n partitions into three distinct positive squares. A96021