Properties of the Number 2799

Two Thousand Seven Hundred Ninety-Nine

Basics

Value: 2798 → 2799 → 2800

Parity: odd

Prime: No

Previous Prime: 2797

Next Prime: 2801

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 311

Divisors: 1, 3, 9, 311, 933, 2799

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011101111

Octal: 5357

Duodecimal: 1753

Hexadecimal: aef

Square: 7834401

Square Root: 52.905576265645195

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

Least k such that there are exactly n ways to choose a sequence of divisors, one of each element of the multiset of prime indices of k (with multiplicity). A355732

a(n) = 90·n - 81. A139280

Numbers n such that (n⁹⁷+1)/(n+1) is prime. A260573

Number of partitions of n with even minimal and maximal parts. A325346

Number T(n,k) of Dyck paths of semilength n such that each level has exactly k peaks or no peaks; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A288108

Number of Dyck paths of semilength n with distinct peak heights. A281874

Number of integer partitions of n that are both Look-and-Say and section-sum partitions. A383508

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having one or three distinct values, and new values 0..2 introduced in row major order. A210107

Numbers that are the sum of 4 positive cubes in 3 or more ways. A25407

Sum of the sixth largest parts in the partitions of n into 7 squarefree parts. A308955