Properties of the Number 19503

Nineteen Thousand Five Hundred Three

Basics

Value: 19502 → 19503 → 19504

Parity: odd

Prime: No

Previous Prime: 19501

Next Prime: 19507

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 197

Divisors: 1, 3, 9, 11, 33, 99, 197, 591, 1773, 2167

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110000101111

Octal: 46057

Duodecimal: B353

Hexadecimal: 4c2f

Square: 380367009

Square Root: 139.65314174768858

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

Triangular numbers (A000217) with prime indices. A34953

a(n) = n*(11·n² - 5)/6. A4467

Number of cyclic arrangements of S={1,2,...,n} such that the difference of any two neighbors is a divisor of their sum. A242531

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231263

T(n,k) = number of nXk 0..2 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..2 array. A228977

Triangular numbers which have one or more occurrences of exactly five different digits. A241788

(Largest Matula-Goebel number encoding a tree with n nodes) - (smallest Matula-Goebel number encoding a tree with n nodes). A91233

Numbers n such that Fibonacci(n) is not squarefree, but for all proper divisors k of n, Fibonacci(k) is squarefree. A65069

Triangular numbers T(k) that have the same number of divisors as their successors T(k+1). A319035

a(n) = ∑_k=1..n binomial(floor(n/k)+3,4). A365409