Properties of the Number 2882

Two Thousand Eight Hundred Eighty-Two

Basics

Value: 2881 → 2882 → 2883

Parity: even

Prime: No

Previous Prime: 2879

Next Prime: 2887

Digit Sum: 20

Digital Root: 2

Palindrome: Yes

Factorization: 2 × 11 × 131

Divisors: 1, 2, 11, 22, 131, 262, 1441, 2882

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101000010

Octal: 5502

Duodecimal: 1802

Hexadecimal: b42

Square: 8305924

Square Root: 53.68426212587819

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

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Number of strict integer partitions of n with integer median. A359907

a(0) = 1, a(n) = 5·n² + 2 for n>0. A10001

Numbers palindromic in bases 10 and 17. A97855

Palindromic in bases 10 and 32. A99165

a(n) = (prime(n)² - 1)/24. A24702

Pentagonal numbers with even index. A49452

Moebius transform of A064987, n*σ(n). A69097

a(n) = ∑_k=0..n (-1)^k * binomial(n, k) * q(k), where q(k) is A000009 (partitions into distinct parts). A293467

Expansion of 1/(1 + x - x³ - x⁴ - x⁸ - x¹² - x¹³ - x¹⁷ - x²¹ - x²² - x²⁶ - x³⁰ - x³¹ + x³³ + x³⁴). A173908