Properties of the Number 2088

Two Thousand Eighty-Eight

Basics

Value: 2087 → 2088 → 2089

Parity: even

Prime: No

Previous Prime: 2087

Next Prime: 2089

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 29

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000101000

Octal: 4050

Duodecimal: 1260

Hexadecimal: 828

Square: 4359744

Square Root: 45.69463863518345

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) = ∑_k<=n A000203(k)*(n-k+1), where A000203(m) is the sum of divisors of m. A175254

Zero together with the numbers which can be written as a sum of distinct odd powers of 2. A62880

a(n) = n*(5·n - 1)/2. A5476

Numbers that can be expressed as the difference of the squares of primes in just two distinct ways. A90788

Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1. A6509

McKay-Thompson series of class 8E for the Monster group. A29841

Triangle read by rows: T(n,k) = number of permutations p of [n] such that max(|p(i)-i|)=k (n>=1, 0<=k<=n-1). A130152

Number of integer partitions of n that are empty, have smallest part not dividing all the others, or greatest part not divisible by all the others. A343346

Number of partitions of n into parts 2, 3, 4, 5, 6, 7. A1996

a(n) = n*(n+22). A132764