Properties of the Number 23055

Twenty-Three Thousand Fifty-Five

Basics

Value: 23054 → 23055 → 23056

Parity: odd

Prime: No

Previous Prime: 23053

Next Prime: 23057

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 29 × 53

Divisors: 1, 3, 5, 15, 29, 53, 87, 145, 159, 265

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101000001111

Octal: 55017

Duodecimal: 11413

Hexadecimal: 5a0f

Square: 531533025

Square Root: 151.83873023705118

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

Numbers k such that there is 1 prime between 100·k and 100·k + 99. A186393

T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A232281

a(n) = ∑_{1 <= i <= j <= k <= n} gcd(i,j,k). A344521

Number of connected (4,n)-hypergraphs (without empty edges and without multiple edges). A114933

Numbers k such that 2·10^k + 3·R_k + 6 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A102951

Integers of the form 4n+3 for which ∑_i=1..u J(i,4n+3) obtains value zero exactly 7 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol. A166057

Let F(x) = 1 + 1·x + 4·x² + 10·x³ + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/∏_n>=1 E(n)^a(n) where E(n) = ∏_k>=n (1 - x^n·k). A193718

tan(tan(x)-sin(x)) = 3/3!*x³ + 15/5!*x⁵ + 273/7!*x⁷ + 23055/9!*x⁹... A13353

Number of nX4 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A232277

Number of 3Xn 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A232283