Properties of the Number 19117

Nineteen Thousand One Hundred Seventeen

Basics

Value: 19116 → 19117 → 19118

Parity: odd

Prime: No

Previous Prime: 19087

Next Prime: 19121

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 2731

Divisors: 1, 7, 2731, 19117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101010101101

Octal: 45255

Duodecimal: B091

Hexadecimal: 4aad

Square: 365459689

Square Root: 138.26423977297964

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

a(n) = 15·n² - 9·n + 1. A134154

a(0)=1, a(1)=1, a(n)=7·a(n/2) for n=2,4,6,..., a(n)=6·a((n-1)/2)+a((n+1)/2) for n=3,5,7,.... A116522

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²>=x²+y². A211636

Numbers whose base-2 representation has exactly 13 runs. A43580

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 16 (most significant digit on right). A61969

Number of arrays of maxima of three adjacent elements of some length 7 0..n array. A228462

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = a(3) = 3. A49975

Numbers k such that (11·10^k - 113) / 3 is prime. A280557

Numbers k such that k![4] - 256 is prime, where k![4] = A007662(k) = quadruple factorial. A329177

Two-dimensional array read by antidiagonals: T(n,k) = number of arrays of maxima of three adjacent elements of some length n+2 0..k array. A228461