Properties of the Number 44220

Forty-Four Thousand Two Hundred Twenty

Basics

Value: 44219 → 44220 → 44221

Parity: even

Prime: No

Previous Prime: 44207

Next Prime: 44221

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 11 × 67

Divisors: 1, 2, 3, 4, 5, 6, 10, 11, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010110010111100

Octal: 126274

Duodecimal: 21710

Hexadecimal: acbc

Square: 1955408400

Square Root: 210.28552018624583

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 ternary irreducible monic polynomials of degree n; dimensions of free Lie algebras. A27376

∏_k>=1 1/(1 - x^k)^a(k) = 1 + 3x. A38064

Square array whose entry A(n,k) is the number of endofunctions on a set of size n with preimage constraint {0,1,...,k}, for n >= 0, k >= 0, read by descending antidiagonals. A306800

Maximal length of rook tour on an n X n+1 board. A152132

Maximal length of rook tour on an n X n+3 board. A152134

Numbers k such that ψ(k²) = k, ψ = A002322; indices of 1 in A341857. A341858

a(n) = ∑_{k=0..floor(n/2)} binomial(k+3,3) * binomial(2·k,2·n-4·k). A382495

Principal diagonal of the convolution array A213553. A213554

Dimensions of primitive Lie algebras connected with the Mantaci-Reutenauer algebra MR². A185171

Number of words of length n over the alphabet {0,...,n-1} that avoid the pattern 1111. A239368