Properties of the Number 17447

Seventeen Thousand Four Hundred Forty-Seven

Basics

Value: 17446 → 17447 → 17448

Parity: odd

Prime: No

Previous Prime: 17443

Next Prime: 17449

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 73 × 239

Divisors: 1, 73, 239, 17447

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 100010000100111

Octal: 42047

Duodecimal: A11B

Hexadecimal: 4427

Square: 304397809

Square Root: 132.0870924806811

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+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1. A255027

Sum of the largest parts in the partitions of n into 7 parts. A308933

a(n) = 1 + 2·n + n² + 2·n³ + n⁴. A165563

a(2n)=A165568(n). a(2n+1)=A165563(n). A171733

Decreasing partition array based on the fractional parts of tan(n); see Comments. A389579

Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1. A255022

Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1. A255024

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1000-1110-0111-0001 pattern in any orientation. A147401

Numbers k such that (56·10^k + 223)/9 is prime. A275524

a(n) = (11·n + 4)¹¹. A17447