Properties of the Number 17472

Seventeen Thousand Four Hundred Seventy-Two

Basics

Value: 17471 → 17472 → 17473

Parity: even

Prime: No

Previous Prime: 17471

Next Prime: 17477

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 7 × 13

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 13, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100010001000000

Octal: 42100

Duodecimal: A140

Hexadecimal: 4440

Square: 305270784

Square Root: 132.18169313486644

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

Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31173

Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31174

Number of ways to place 2 nonattacking bishops on an n X n board. A172123

Sorted positions of first appearances in A367905. A367911

Numbers k > 1 such that, in base 8, k and k² contain the same digits in the same proportion. A61662

Least number k such that there are exactly n ways to choose a different binary index of each binary index of k. A367910

Triangle read by rows: T(n,k) = number of closed meander systems of order n with k<=n components. A8828

Number of non-congruent solutions to x² + y² + z² + t² == 1 (mod n). A208895

Integers k such that there are i groups of order k+i up to isomorphism, for i=1,2,3. A373649

a(n) = binomial(2·n, n) mod ((n+1)*(n+2)*(n+3)*(n+4)). A65346