Properties of the Number 2736

Two Thousand Seven Hundred Thirty-Six

Basics

Value: 2735 → 2736 → 2737

Parity: even

Prime: No

Previous Prime: 2731

Next Prime: 2741

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 19

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010110000

Octal: 5260

Duodecimal: 1700

Hexadecimal: ab0

Square: 7485696

Square Root: 52.306787322488084

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

Octahedral numbers: a(n) = n*(2·n² + 1)/3. A5900

a(1) = 0; for n > 1, a(n) = A000203(A156552(n)). A323243

a(n) = 2·n² - 2. A54000

Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere. A35008

Expansion of (1+x²)/((1-x)²*(1-x²)²). A5993

a(n) = n*(n + 9). A28569

a(n) = floor(n*φ⁹), where φ is the golden ratio, A001622. A4924

Number of representations of n as a sum of products of pairs of positive integers, considered to be equivalent when terms or factors are reordered. A182269

a(n) = ∑_{d∣n, n/d=1 mod 4} d³ - ∑_{d∣n, n/d=3 mod 4} d³. A50471

a(n) = (Fibonacci(6·n+3) - 2)/4. A53606