Properties of the Number 43222

Forty-Three Thousand Two Hundred Twenty-Two

Basics

Value: 43221 → 43222 → 43223

Parity: even

Prime: No

Previous Prime: 43207

Next Prime: 43223

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 21611

Divisors: 1, 2, 21611, 43222

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010100011010110

Octal: 124326

Duodecimal: 2101A

Hexadecimal: a8d6

Square: 1868141284

Square Root: 207.89901394667555

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 3-Carlitz compositions of n (or, more generally p-Carlitz compositions, p > 1), i.e., words b₁^i₁b₂^i₂...b_k^i_k such that the b_j's and i_j's are positive integers for which ∑_j=1..k i_j * b_j = n and, for all j, i_j < p and if b_j = b_j+1 then i_j + i_j+1 is not equal to p. A129922

Row sums of triangle A086632. A86633

Bond series for second perpendicular moment of hexagonal net. A120544

Number of n X 4 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A253219

Number of n X 3 binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing. A266930

Number of partitions of n into odd parts greater than 1. A87897

Number of integer partitions of n > 0 where the maximum part minus the minimum part equals the length minus the number of distinct parts. A324516

Number of non-condensed integer partitions of n into parts > 1. A370804

Numbers k such that 0 and 7 occur juxtaposed in the base-10 representation of k but not of k-1. A43222

Number of rooted trees with n nodes with a height of 2 and with at least 1 node at height 1 has degree > 2. A84842