Properties of the Number 2061

Two Thousand Sixty-One

Basics

Value: 2060 → 2061 → 2062

Parity: odd

Prime: No

Previous Prime: 2053

Next Prime: 2063

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 229

Divisors: 1, 3, 9, 229, 687, 2061

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000001101

Octal: 4015

Duodecimal: 1239

Hexadecimal: 80d

Square: 4247721

Square Root: 45.39823785126467

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

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

Number of ways to choose a constant partition of each part of a constant partition of n. A279789

Expansion of g.f.: x⁴/((1-x)*(1-x²)²*(1-x³)). A8763

Numbers n such that fractional part of e^π*sqrt(n) > 0.99. A35484

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231396

Number of sets of positive integers with arithmetic mean n. A66571

Expansion of 1/((1-x)*(1-x²)²*(1-x³)). A266769

a(1) = 6; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74342

Number of pentagons that can be formed with perimeter n. In other words, number of partitions of n into five parts such that the sum of any four is more than the fifth. A69906

Number of n-digit numbers in a cycle (including fixed points) under the base-5 Kaprekar map A165032. A165046