Properties of the Number 22734

Twenty-Two Thousand Seven Hundred Thirty-Four

Basics

Value: 22733 → 22734 → 22735

Parity: even

Prime: No

Previous Prime: 22727

Next Prime: 22739

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 421

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 421, 842

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101100011001110

Octal: 54316

Duodecimal: 111A6

Hexadecimal: 58ce

Square: 516834756

Square Root: 150.77798247754876

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

Triangle read by rows: T[n,k] = number of n X n binary matrices with k=0...n² ones, distinct up to cyclic shifts of rows and columns; reflection through any vertical or horizontal axis; and reflection through the main diagonal. Also, quasi-n-ominoes on a torus divided into a k X k grid. A93466

T(n,k)=Number of nXk 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A280480

Number of cubic lattice walks that start and end at origin after 2n steps, not touching origin at intermediate stages. A49037

Expansion of x/((1 - x - x⁴)*(1 - x)²). A145131

Number A(n,k) of k-dimensional cubic lattice walks with 2n steps from origin to origin and avoiding early returns to the origin; square array A(n,k), n>=0, k>=0, read by antidiagonals. A361397

Integers y such that for some integer·we have uphi(x) = uphi(y) = x-y, where uphi(n) = A047994(n) is the unitary totient function: If n = Product p_i^e_i, uphi(n) = Product (p_i^e_i - 1). A67741

Let (u1,u2) be successive untouchable numbers such that φ(u1) = φ(u2); sequence gives values of u2. A48190

Number of n X 1 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279865

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 10 (most significant digit on right). A29503

Composite k such that the primorial inflation of k is a sum of distinct primorial numbers. A351959