Properties of the Number 36297

Thirty-Six Thousand Two Hundred Ninety-Seven

Basics

Value: 36296 → 36297 → 36298

Parity: odd

Prime: No

Previous Prime: 36293

Next Prime: 36299

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 37 × 109

Divisors: 1, 3, 9, 37, 109, 111, 327, 333, 981, 4033

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110111001001

Octal: 106711

Duodecimal: 19009

Hexadecimal: 8dc9

Square: 1317472209

Square Root: 190.51771571168914

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 k such that k divides the sum of digits of all numbers from 1 to k. A114136

Denominators of continued fraction transform of e. A229596

9 times octagonal numbers: a(n) = 9·n*(3·n-2). A64201

Denominators of continued fraction convergents to sqrt(336). A41635

a(n) = 1 - (5/6)*n + (5/2)*n² + (10/3)*n³ + n⁴. A57675

A symmetrical triangle of polynomial coefficients that are von Koch like: b=1/4; p(x, n) = If[Mod[n, 4] == 2, (b·x - n/2)*p(x, n - 1), If[ Mod[n, 4] == 3, (x/2 - b·n + 1/2)*p(x, n - 1), If[ Mod[n, 4] == 0, (-b·x - n/2 + b)*p(x, n - 1), (x/2 + b·n)*p(x, n - 1)]]]; q(x,n)=(p(x,n)+xⁿ*(p(1/x,n))/bⁿ. A155688

Number of Hadamard matrices of order n. A36297