Properties of the Number 19264

Nineteen Thousand Two Hundred Sixty-Four

Basics

Value: 19263 → 19264 → 19265

Parity: even

Prime: No

Previous Prime: 19259

Next Prime: 19267

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 7 × 43

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 43

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100101101000000

Octal: 45500

Duodecimal: B194

Hexadecimal: 4b40

Square: 371101696

Square Root: 138.79481258317978

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

Numbers n such that 3ⁿ + 2^n-1 is prime. A82103

Composites whose prime factorization in base 3 is an anagram of the number in base 3. A260047

7 times pentagonal numbers: a(n) = 7·n*(3·n-1)/2. A152744

The number of P-positions in the game of Nim with up to 4 piles, allowing for piles of zero, such that the number of objects in each pile does not exceed n. A241522

Number of Pythagorean quadruples mod n; i.e., number of solutions to w² + x² + y² = z² mod n. A96018

Expansion of ∏_k>=1 (1 + x^k) * (1 + x^2·k) * (1 + x^3·k). A327045

a(n) = (n+1)*binomial(2·n,n) - 2^2·n-1. A65982

Let u(1)=u(2)=1, u(3)=2n, u(k) = abs(u(k-1)-u(k-2)-u(k-3)) and M(k) = Max_i<=i<=k u(i), then for any k >= A078109(n), M(k) = floor(sqrt(k + a(n))). A78108

Triangle T(n,k) read by rows: T(n,k) is the number of unrooted hypertrees on n labeled vertices with k hyperedges, n >= 2, 1 <= k <= n-1. A210587

Sums of 4 distinct powers of 7. A38483