Properties of the Number 19112

Nineteen Thousand One Hundred Twelve

Basics

Value: 19111 → 19112 → 19113

Parity: even

Prime: No

Previous Prime: 19087

Next Prime: 19121

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 2389

Divisors: 1, 2, 4, 8, 2389, 4778, 9556, 19112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100101010101000

Octal: 45250

Duodecimal: B088

Hexadecimal: 4aa8

Square: 365268544

Square Root: 138.24615727028365

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+1)X(k+1) 0..3 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A251037

Expansion of r(q)⁴ / r(q⁴) in powers of q where r() is the Rogers-Ramanujan continued fraction. A285629

a(n) = A338268(k² + 2·n, k) for sufficiently large k. A338286

Susceptibility series H₄ for 2-dimensional Ising model (divided by 2). A55856

Number of basis partitions of n+100 with Durfee square size 10. A69253

a(0) = 2, a(1) = 2; for n > 1, a(n) = a(n-1) + 2·a(n-2) + 3. A290604

Number of -1..1 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two, four, five or six distinct values for every i,j,k<=n. A211529

Number of 3 X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A239987

a(n) = ceiling(n³*(π/2)). A248198

Number of (n+1)X(1+1) 0..3 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A251030