Properties of the Number 54075

Fifty-Four Thousand Seventy-Five

Basics

Value: 54074 → 54075 → 54076

Parity: odd

Prime: No

Previous Prime: 54059

Next Prime: 54083

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ² × 7 × 103

Divisors: 1, 3, 5, 7, 15, 21, 25, 35, 75, 103

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001100111011

Octal: 151473

Duodecimal: 27363

Hexadecimal: d33b

Square: 2924105625

Square Root: 232.5403190846697

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

Irregular triangle read by rows: T(n,k) is the sum of the widths of the free polyominoes with n cells and width k, n >= 1, 1 <= k <= ceiling(n/2). A379637

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221234

Numbers k such that k² is formed from two subsquares that overlap in a single digit. A48422

a(n)=sqrt(A145848(n)). A146991

Number of nX3 arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221231

Number of nX4 arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221232

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1101-0111-0001 pattern in any orientation. A147238

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252318

Position of first appearance of n in A054073. A54075