Properties of the Number 2891

Two Thousand Eight Hundred Ninety-One

Basics

Value: 2890 → 2891 → 2892

Parity: odd

Prime: No

Previous Prime: 2887

Next Prime: 2897

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 ² × 59

Divisors: 1, 7, 49, 59, 413, 2891

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101001011

Octal: 5513

Duodecimal: 180B

Hexadecimal: b4b

Square: 8357881

Square Root: 53.76802023508026

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·n² + 3. A93328

G.f.: ∑_n>=0 xⁿ / (1-x)^2·n+1 * [ ∑_k=0..n C(n,k)²*x^k ]². A227845

a(n) = n*(2·n² -3·n +7)/6 = C(n, 1) + C(n, 2) + 2·C(n, 3). A81489

Expansion of 1/(1 - ∑_k>=2 floor(1/ω(k))*x^k), where ω(k) is the number of distinct prime factors (A001221). A280195

Number of inequivalent leaf-colorings of series-reduced rooted trees with n nodes. A318231

Number of strict integer partitions of n into parts > 1 whose product is a multiple of n. A379735

T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252811

(τ<=)_6(n). A61204

a(n) = 10·n² + 1. A158187

S₅ sequence in partition of integers > 1 described in A240521. A240522