Properties of the Number 46036

Forty-Six Thousand Thirty-Six

Basics

Value: 46035 → 46036 → 46037

Parity: even

Prime: No

Previous Prime: 46027

Next Prime: 46049

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 17 × 677

Divisors: 1, 2, 4, 17, 34, 68, 677, 1354, 2708, 11509

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001111010100

Octal: 131724

Duodecimal: 22784

Hexadecimal: b3d4

Square: 2119313296

Square Root: 214.56001491424257

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

Number of regions formed in a square by straight line segments when connecting the n+1 points along each edge that divide it into n equal parts to the n+1 points on the edge on the opposite side of the square. A355838

Place n points in general position on each side of a square, and join every pair of the 4·n+4 boundary points by a chord; sequence gives number of regions in the resulting planar graph. A367121

a(n) = ∑_y=1..n ∑_x=1..n floor((x^k + y^k)^1/k) with k = 3. A211792

Expansion of g.f. A(x) satisfying 1 = ∑_n=-oo..+oo xⁿ * (x^3·n+1 - A(x))ⁿ. A366229

a(n) = floor(M(g(n-1)+1, ..., g(n))), where M = harmonic mean and g(n) = n³ + n² + n + 1. A227015

Expansion of g⁴/(1 + x·g)², where g = 1+x·g³ is the g.f. of A001764. A391407

Indices of the concatenation of the first k odd numbers (A019519) which are primes. A46036

Table read by antidiagonals: Place k points in general position on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives number of regions in the resulting planar graph. A366253

Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235242