Properties of the Number 18297

Eighteen Thousand Two Hundred Ninety-Seven

Basics

Value: 18296 → 18297 → 18298

Parity: odd

Prime: No

Previous Prime: 18289

Next Prime: 18301

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 107

Divisors: 1, 3, 9, 19, 57, 107, 171, 321, 963, 2033

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011101111001

Octal: 43571

Duodecimal: A709

Hexadecimal: 4779

Square: 334780209

Square Root: 135.26640381114595

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

Coefficient triangle of polynomials (falling powers) related to convolutions of A001045(n+1), n >= 0, (generalized (1,2)-Fibonacci). Companion triangle is A073399. A73400

Row sums of A285118: a(n) = ∑_k=1..(n-1) (C(n-1,k-1) bitwise-and C(n-1,k)), a(0) = a(1) = 0. A285115

Number of vertices in a complete bipartite graph where the vertices in the two parts are placed on opposite sides of a parabola at integer y coordinates y = 1, 2, ...n. A392442

a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (odd natural numbers). A24598

Coefficient triangle of polynomials (rising powers) related to convolutions of A001045(n+1), n >= 0, (generalized (1,2)-Fibonacci). Companion triangle is A073401. A73402

Pseudo-random numbers: gcc 2.6.3 version for 32-bit integers. A84276

a(n) = n*(8·n² + 1)/3. A143166

a(0) = 1; a(n) = 5 * ∑_k=0..n k·binomial(4·n+k,n-k)/(4·n+k). A390714

a(n) = (5/6)*n³+(5/2)*n²+(8/3)*n. A92185

a(n) = n*(n+1)*(2·n+1)/6 - n·floor(n/2). A178946