Properties of the Number 36428

Thirty-Six Thousand Four Hundred Twenty-Eight

Basics

Value: 36427 → 36428 → 36429

Parity: even

Prime: No

Previous Prime: 36389

Next Prime: 36433

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 × 1301

Divisors: 1, 2, 4, 7, 14, 28, 1301, 2602, 5204, 9107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111001001100

Octal: 107114

Duodecimal: 190B8

Hexadecimal: 8e4c

Square: 1326999184

Square Root: 190.86120611585793

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

a(n) = 2·a(n-1) + a(n-2) - a(n-3), with a(0) = a(1) = 0, a(2) = 1. A6054

3-wave sequence starting with 1, 1, 1. A38196

Let i be in {1,2,3}, let r >= 0 be an integer and n=2·r+i-1. Then a(n)=a(2·r+i-1) gives the quantity of H_7,3,0 tiles in a subdivided H_7,i,r tile after linear scaling by the factor x^r, where x=sqrt((2·cos(π/7))²-1). A187070

Let i be in {1,2,3}, let r >= 0 be an integer and n=2·r+i-1. Then a(n)=a(2·r+i-1) gives the quantity of H_7,1,0 tiles in a subdivided H_7,i,r tile after linear scaling by the factor x^r, where x=sqrt((2·cos(π/7))²-1). A187068

Let i be in {1,2,3}, let r >= 0 be an integer and n=2·r+i-1. Then a(n)=a(2·r+i-1) gives the quantity of H_7,2,0 tiles in a subdivided H_7,i,r tile after linear scaling by the factor x^r, where x=sqrt((2·cos(π/7))²-1). A187069

Maximal term of TRIP-Stern sequence of level n corresponding to permutation triple (e,13,e). A271485

Expansion of (η(q³) / η(q))¹² in powers of q. A121590

Expansion of g.f.: 1/(1 - 2·x - x² + x³). A106805

Triangle read by rows: T(n,k) is the number of acyclic graphs on n unlabeled nodes whose longest directed path has k arcs. A350448

Number of 3 X n 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A224001