Properties of the Number 17491

Seventeen Thousand Four Hundred Ninety-One

Basics

Value: 17490 → 17491 → 17492

Parity: odd

Prime: Yes

Previous Prime: 17489

Next Prime: 17497

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 17491

Divisors: 1, 17491

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100010001010011

Octal: 42123

Duodecimal: A157

Hexadecimal: 4453

Square: 305935081

Square Root: 132.25354437594478

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 every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253841

Smallest prime factor of A104365(n) = A104350(n) + 1. A104366

Noncomposite numbers in the western ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American. A168025

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A301330

Number of 2 X 2 matrices having all elements in {0,1,...,n} and determinant in the closed interval [-n,n]. A211031

Primes that remain prime through 3 iterations of function f(x) = 9x + 8. A23298

Primes p such that x⁵³ = 2 has no solution mod p. A59258

Least prime p = 1 (mod n) which divides Fibonacci((p-1)/n). A168171

a(n) = 16·n² + 2·n + 1. A204675

Triangle read by rows: T(n,k) = ∑_i=0..n-1 binomial(n-1, i)*T(n-1-i,k-1) - ∑_i=1..n-1 binomial(n-1,i)*T(n-1-i,k) for 1 <= k <= n+1 with T(0,1) = 1 (and T(n,k) = 0 otherwise). A341287