Properties of the Number 2788

Two Thousand Seven Hundred Eighty-Eight

Basics

Value: 2787 → 2788 → 2789

Parity: even

Prime: No

Previous Prime: 2777

Next Prime: 2789

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 17 × 41

Divisors: 1, 2, 4, 17, 34, 41, 68, 82, 164, 697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011100100

Octal: 5344

Duodecimal: 1744

Hexadecimal: ae4

Square: 7772944

Square Root: 52.80151512977634

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

Expansion of 1/((1-x)²*(1-x²)*(1-x³)). A601

Number of benzenoids with 22 hexagons, C_2v symmetry and containing n carbon atoms. A123106

Numbers k such that k³ divides 3^k² - 1. A129211

a(n) = n*(3·n + 13)/2. A140672

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 2 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367297

Numbers k such that k³ divides 9^k² - 1. A177909

Number of subsets of {1..n} containing n but not containing the sum of any two distinct elements. A364755

Number of partitions of n, with two kinds of 1, 2, 3 and 4. A710

Positive integers n such that n¹⁹ + 1 is semiprime (A001358). A104657

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240153