Properties of the Number 21963

Twenty-One Thousand Nine Hundred Sixty-Three

Basics

Value: 21962 → 21963 → 21964

Parity: odd

Prime: No

Previous Prime: 21961

Next Prime: 21977

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7321

Divisors: 1, 3, 7321, 21963

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010111001011

Octal: 52713

Duodecimal: 10863

Hexadecimal: 55cb

Square: 482373369

Square Root: 148.19919028118878

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 nXk 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. A283634

Numbers n such that Maple 9.5, Maple 10, Maple 11 and Maple 12 give the wrong answers for the number of partitions of n. A110375

A213784/12. A213789

a(n) = ∑_j=1..n A003718(j-1)*prime(j). A342604

a(n) = 76·n² - 1. A158765

Number of nX6 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. A283632

Number of 3Xn 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. A283636

T(n,n+1), array T as in A047060. A47066

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1000-1000-1100-0111 pattern in any orientation. A147103

a(n) = ∑_d∣n (n-d)^τ(d). A345273