Properties of the Number 19369

Nineteen Thousand Three Hundred Sixty-Nine

Basics

Value: 19368 → 19369 → 19370

Parity: odd

Prime: No

Previous Prime: 19333

Next Prime: 19373

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 2767

Divisors: 1, 7, 2767, 19369

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101110101001

Octal: 45651

Duodecimal: B261

Hexadecimal: 4ba9

Square: 375158161

Square Root: 139.17255476565774

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

Expansion of ∏_m>=1 (1-m·q^m). A22661

Numbers n such that the decimal number concat(6,n) is a square. A273361

Semiprimes which are the sum of three distinct positive cubes in two or more distinct ways. A180089

Triangle of coefficients of polynomials u(n,x) jointly generated with A209576; see the Formula section. A209575

Numbers k such that 4k+1 is a palindromic prime. A192261

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 84 ones. A31852

O.g.f. satisfies: A(x) = ∑_n>=0 nⁿ * xⁿ * A(n²*x²)ⁿ/n! * exp(-n·x*A(n²*x²)). A216247

a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4), where a(0) = -1, a(1) = 2, a(2) = 3, a(3) = 4. A295721

Square array A(n,k) read by antidiagonals: T(n,k) = A(n-k+1,k) where A(n,0)=0, A(n,1)=1, and A(n,k) = n·A(n,k-1) + k·A(n,k-2). A173004

Successive records of function f(x) = log(abs(π(x) - R(x)))/log(x) where π(x) is the number of primes <= x and R(x) is Riemann's prime counting function. A353055