Properties of the Number 23868

Twenty-Three Thousand Eight Hundred Sixty-Eight

Basics

Value: 23867 → 23868 → 23869

Parity: even

Prime: No

Previous Prime: 23857

Next Prime: 23869

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 13 × 17

Divisors: 1, 2, 3, 4, 6, 9, 12, 13, 17, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110100111100

Octal: 56474

Duodecimal: 11990

Hexadecimal: 5d3c

Square: 569681424

Square Root: 154.4927182750048

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

Number of distinct values taken by 5th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1. A199296

Expansion of (1+x²*C²)*C², where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A71721

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251905

3-comma numbers: n occurs in the sequence S[k+1]=S[k]+10·last_digit(S[k-1])+first_digit(S[k]) for three different splittings n=concat(S[0],S[1]). A166513

a(n) = A000094(n+4) - A006918(n). A84835

Sixth column of (1,5)-Pascal triangle A096940. A96943

a(n) = σ(n)*π(n²), where σ(n) is the sum of all (positive) divisors of n, and π(x) is the number of primes not exceeding x. A263325

Number of unrooted triangulations with reflection symmetry of a disk with one internal node and n+3 nodes on the boundary. A5508

a(n) = 18*(n - 2)*(2·n - 5). A60787

Row sums of triangle A115237. A115238