Properties of the Number 33864

Thirty-Three Thousand Eight Hundred Sixty-Four

Basics

Value: 33863 → 33864 → 33865

Parity: even

Prime: No

Previous Prime: 33863

Next Prime: 33871

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 17 × 83

Divisors: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000010001001000

Octal: 102110

Duodecimal: 17720

Hexadecimal: 8448

Square: 1146770496

Square Root: 184.0217378463751

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 array T(m,n) giving the number of m X n (0,1)-matrices with pairwise distinct rows and pairwise distinct columns. A181230

Number of n X n (0,1)-matrices with all rows distinct and all columns distinct. A88310

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,34). A250241

Number of nonisomorphic connected functions with no fixed points, or proper rings with n edges. A2862

Expansion of the elliptic function sqrt(k(q))/q^1/4 in powers of q, where sqrt(k(q)) = theta₂(q)/theta₃(q). A127392

Triangle read by rows: T(m,n) (1 <= n < m) is the number of moves of an (m,n)-leaper (a generalization of a chess knight) until it can no longer move, starting on a board with squares spirally numbered from 1. Each move is to the lowest-numbered unvisited square. T(m,n) = -1 if the path never terminates. A323749

Expansion of φ(x) / φ(x²) * f(-x, -x⁷) / f(-x³, -x⁵) in powers of·where φ(), f() are Ramanujan θ functions. A230534

a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ). A11939

McKay-Thompson series of class 32B for the Monster group. A58630

Numbers k such that σ(k) = φ(prime(k)-1). A67651