Properties of the Number 54424

Fifty-Four Thousand Four Hundred Twenty-Four

Basics

Value: 54423 → 54424 → 54425

Parity: even

Prime: No

Previous Prime: 54421

Next Prime: 54437

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 6803

Divisors: 1, 2, 4, 8, 6803, 13606, 27212, 54424

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010010011000

Octal: 152230

Duodecimal: 275B4

Hexadecimal: d498

Square: 2961971776

Square Root: 233.28951969602065

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

Consider a non-palindromic number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{φ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{φ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A241503

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..2 nXk array. A220967

E.g.f.: 1/(cos(x) - sin(x)*cosh(x)). A205580

Equals one maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..2 nX2 array. A220964

Permutation of natural numbers: maps the canonical list of fractions (A020652/A020653) to whole Stern-Brocot (Farey) tree (top = 1/1 and both sides < 1 and > 1, but excluding the "fractions" 0/1 and 1/0). A54424