Properties of the Number 3819

Three Thousand Eight Hundred Nineteen

Basics

Value: 3818 → 3819 → 3820

Parity: odd

Prime: No

Previous Prime: 3803

Next Prime: 3821

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 67

Divisors: 1, 3, 19, 57, 67, 201, 1273, 3819

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111011101011

Octal: 7353

Duodecimal: 2263

Hexadecimal: eeb

Square: 14584761

Square Root: 61.7980582219215

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

Multiples of 19 containing a 19 in their decimal representation. A121039

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals: A(n,k) = [x^n²] (1 + theta₃(x))^k/(2^k*(1 - x)), where theta₃() is the Jacobi θ function. A302998

a(n) = ∑_k=1..n -μ(k+1) * a(n-k), with a(0)=1. A73776

Wiener index of a benzenoid consisting of a spiral chain of n hexagons (s=1; see the Gutman et al. reference). A193391

G.f. A(x) satisfies: x = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x)ⁿ. A355351

Numbers k such that 2·k+1, 4·k+1 and 8·k+1 are primes. A124041

a(n) = coefficient of xⁿ in A(x) such that: 0 = ∑_n=-oo..+oo x^9·n * (xⁿ - 2·A(x))^10·n+1. A358959

T(n,k)=Number of nXk nonnegative integer arrays with each row and column increasing from zero by 0 or 1. A202756

T(n,k)=Number of nXk (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order. A227025

2n concatenated with n. A235497