Properties of the Number 9036

Nine Thousand Thirty-Six

Basics

Value: 9035 → 9036 → 9037

Parity: even

Prime: No

Previous Prime: 9029

Next Prime: 9041

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 251

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 251

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101001100

Octal: 21514

Duodecimal: 5290

Hexadecimal: 234c

Square: 81649296

Square Root: 95.05787710652916

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·n - 1)*(11·n² - 11·n + 6)/6. A63492

Expansion of φ(x) / f(-x) in powers of·where φ(), f() are Ramanujan θ functions. A29552

Consider the Diophantine equation x³ + y³ = z³ + 1 (1<x<y<z) or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791), and increasing values of y in case of ties. Sequence gives values of y. A50793

a(n) = (p(n)*p(n+2) - p(n+1))/2, where p(n) is the n-th odd prime. A152531

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240433

Expansion of (elliptic_E / elliptic_K)^1/4 in powers of q. A261978

Molien series for full 8 X 8 Siegel modular group H₃ of order 371589120. A27633

Numbers that are both Niven numbers and Smith numbers. A334527

Number of grains of sand required to be added to one cell at the origin in an initially empty and infinite 3D cubic grid for the 3D sandpile model such that the distance from the origin of the furthest nonempty cell along the axes is n. A351783

Partial sums of A087100. A87098