Properties of the Number 36228

Thirty-Six Thousand Two Hundred Twenty-Eight

Basics

Value: 36227 → 36228 → 36229

Parity: even

Prime: No

Previous Prime: 36217

Next Prime: 36229

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3019

Divisors: 1, 2, 3, 4, 6, 12, 3019, 6038, 9057, 12076

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110110000100

Octal: 106604

Duodecimal: 18B70

Hexadecimal: 8d84

Square: 1312467984

Square Root: 190.3365440476421

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

Pascal-like triangle, where each entry is the sum of the four entries above it starting with 1 at the top. A356692

Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, formed in a square with edge length 1 by straight line segments when connecting the internal edge points that divide the sides into segments with lengths equal to the Farey series of order n to the equivalent points on the opposite side of the square. A359656

Number of distinct characteristic polynomials for 2 X 2 matrices with entries from {0, 1, ..., n}. A366448

Integers n such that 6n, 36n, and 216n fall between pairs of twin primes, that is, 6n-1, 6n+1, 36n-1, 36n+1, 216n-1, and 216n+1 are prime. A192851

Number of permutations p of [2n+1] such that at most one element of {p(1),...,p(i-1)} is between p(i) and p(i+1) for all i <= 2n and p(2n+1) = n+1. A356853

Multiplicity of highest weight (or singular) vectors associated with character chi₃₂ of Monster module. A34420

T(n,n-1), array T given by A047010. A47013

Irregular triangle read by rows: T(n,k) = number of k-sided polygons formed when connecting infinite lines between all vertices and all points that divide the sides of an equilateral triangle into n equal parts, for k = 3, 4, ..., max_k. A346446

a(1) = 31; a(n+1) = a(n) + sum of decimal digits of a(n). A36228

Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302429