Properties of the Number 17382

Seventeen Thousand Three Hundred Eighty-Two

Basics

Value: 17381 → 17382 → 17383

Parity: even

Prime: No

Previous Prime: 17377

Next Prime: 17383

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2897

Divisors: 1, 2, 3, 6, 2897, 5794, 8691, 17382

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100001111100110

Octal: 41746

Duodecimal: A086

Hexadecimal: 43e6

Square: 302133924

Square Root: 131.84081310428877

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 every element equal to 0, 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303016

Number of partitions of n such that (number of distinct parts) > least part. A239951

a(n) = (n+1)*(n+2)*(n+3)*(13·n³ + 69·n² + 113·n + 60)/360. A108649

a(1)=1; for n>1, a(n) = least integer greater than a(n-1) such that the sums of the divisors of the pairwise sums of a(1),...,a(n) are all distinct. A293542

Number of fixed hexagonal polyominoes with n cells and tree-like structure. A66331

Smallest index k such that Fibonacci(k) contains Fibonacci(n) as a proper substring in decimal notation. A263400

Number of 3 X n 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303017

Erroneous version of A003713. A154

Numbers k such that 5·10^k - 43 is prime. A281513

a(n) = ∑_k=0..n binomial(n,k)² * binomial(k,floor(k/2)). A349769