Properties of the Number 20036

Twenty Thousand Thirty-Six

Basics

Value: 20035 → 20036 → 20037

Parity: even

Prime: No

Previous Prime: 20029

Next Prime: 20047

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5009

Divisors: 1, 2, 4, 5009, 10018, 20036

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111001000100

Octal: 47104

Duodecimal: B718

Hexadecimal: 4e44

Square: 401441296

Square Root: 141.54857823376398

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

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 or 4 neighboring 1s. A296541

Number of trees of diameter 5. A147

Numbers k such that k and k+1 are modest (cf. A054986). A55018

2·a(n) is the least number where k sets a new record such that 2·a(n)-k and 2·a(n)+k are prime and at least one of 2·a(n)-j and 2·a(n)+j is composite for all 0<j<k. A307881

Number of unlabeled multigraphs with loops allowed and n edges covering three vertices. A327728

Expansion of f(-x, -x⁷) / f(-x, -x) in powers of q where f(, ) is Ramanujan's general θ function. A132212

Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 or 4 neighboring 1s. A296537

Nearest integer to γ(n + 1/6)/γ(1/6). A20036

G.f. satisfies: A(x) = -1/(1+x) + A(x)² + 1/A(x)². A228923

Number of (n+1) X (1+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). A235241