Properties of the Number 2806

Two Thousand Eight Hundred Six

Basics

Value: 2805 → 2806 → 2807

Parity: even

Prime: No

Previous Prime: 2803

Next Prime: 2819

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 23 × 61

Divisors: 1, 2, 23, 46, 61, 122, 1403, 2806

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011110110

Octal: 5366

Duodecimal: 175A

Hexadecimal: af6

Square: 7873636

Square Root: 52.97169055259611

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

Centered pentagonal numbers: (5n²+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net. A5891

Number of strict trees of weight n. A273873

Number of partitions of n such that no part is a sum of two or more other parts. A237667

Generalized 13-gonal numbers: m*(11·m-9)/2 with m = 0, 1, -1, 2, -2, 3, -3, ... A195313

13-gonal (or tridecagonal) numbers: a(n) = n*(11·n - 9)/2. A51865

Numbers n such that Bernoulli number B_n has denominator 282. A272184

Number of partitions of n into parts >= 6. A185326

Number of 3-edge-colored connected trivalent graphs with 2n nodes. A2831

Numbers k such that k | 5^k + 5. A15891

Number of partitions of n in which the least part is 6. A26799