Properties of the Number 23805

Twenty-Three Thousand Eight Hundred Five

Basics

Value: 23804 → 23805 → 23806

Parity: odd

Prime: No

Previous Prime: 23801

Next Prime: 23813

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 23 ²

Divisors: 1, 3, 5, 9, 15, 23, 45, 69, 115, 207

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110011111101

Octal: 56375

Duodecimal: 11939

Hexadecimal: 5cfd

Square: 566678025

Square Root: 154.2886904474855

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

Square table, read by antidiagonals, where the g.f. for row n+1 is generated by: x·R_n+1(x) = (1+n·x - 1/R_n(x))/(n+1) with R₀(x) = ∑_n>=0 n!*xⁿ. A111528

a(n) = (2·n - 1)*n². A15237

Row 3 of table A111528. A111530

Number of inequivalent ways to color vertices of a regular tetrahedron using <= n colors. A6008

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 0,-1 0,2 1,0 or -1,0. A264257

Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT(column 0 of T^p) = p*(column p+3 of T), or [T^p](m,0) = p·T(p+m,p+3) for all m>=1 and p>=-3. A111544

Row sums of the triangle in A199332. A199771

Row sums of A128623. A128624

Number of 0..n arrays x(0..2) of 3 elements with each no smaller than the sum of its previous elements modulo (n+1). A200252

Number of (w,x,y,z) with all terms in {0,...,n}, w even, and x = y + z. A212760