Properties of the Number 54289

Fifty-Four Thousand Two Hundred Eighty-Nine

Basics

Value: 54288 → 54289 → 54290

Parity: odd

Prime: No

Previous Prime: 54287

Next Prime: 54293

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 233 ²

Divisors: 1, 233, 54289

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010000010001

Octal: 152021

Duodecimal: 27501

Hexadecimal: d411

Square: 2947295521

Square Root: 233

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

Squared Fibonacci numbers: a(n) = F(n)² where F = A000045. A7598

a(n) = a(n-1) + a(n-3) + a(n-4), a(0) = a(1) = a(2) = 1, a(3) = 2. A6498

Sum of legs of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse. A89552

Number of n X 1 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,0,1,3,4 for x=0,1,2,3,4. A195971

Squares of primes lacking the digit zero in their decimal expansion. A52043

a(n) = (Lucas(4·n+2) + 2)/5, or Fibonacci(2·n+1)², or A081067(n)/5. A81068

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 0,1 or 2,-2. A264090

Squares with initial digit '5'. A45788

Squares that become prime when their most significant (or leftmost) digit is removed. A225873

a(n) = (8·n + 1)². A17078