Properties of the Number 36133

Thirty-Six Thousand One Hundred Thirty-Three

Basics

Value: 36132 → 36133 → 36134

Parity: odd

Prime: No

Previous Prime: 36131

Next Prime: 36137

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 23 × 1571

Divisors: 1, 23, 1571, 36133

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000110100100101

Octal: 106445

Duodecimal: 18AB1

Hexadecimal: 8d25

Square: 1305593689

Square Root: 190.08682226814145

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

Sum of diagonal numbers in a Pascal-like triangle with index of asymmetry y = 3 and index of obliquity z = 0 (going upwards, left to right). A141072

Solution of the complementary equation a(n) = 2·a(n-1) - a(n-3) + b(n-1), where a(0) = 1, a(1) = 2, a(2) = 3, b(0) = 4, b(1) = 5, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295613

Boustrophedon transform of the continued fraction of the Euler-Mascheroni constant, γ (A001620). A80410

Number of (n+2) X 8 0..2 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock. A186565

Number of (n+2)X9 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock. A186566

a(n) = ∑_i=1..n (-1)ⁱ⁺¹ prime(i)³. A242188

First entry of the vector (Mⁿ)w, where M is the 6x6 matrix [[0, 1, 0, 0, 0, 0, ], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [1, 0, -1, 0, 1, 1]] and w is the column vector [0, 1, 1, 2, 3, 5]. A117792

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock. A186568

T(n,k)=Number of (n+3)X(k+3) binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock. A188105

a(n) = 5ⁿ mod 73. A36133