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Properties of the Number 54219

Fifty-Four Thousand Two Hundred Nineteen

Basics

Value: 54218 → 54219 → 54220

Parity: odd

Prime: No

Previous Prime: 54217

Next Prime: 54251

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 31 × 53

Divisors: 1, 3, 11, 31, 33, 53, 93, 159, 341, 583

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1101001111001011

Octal: 151713

Duodecimal: 27463

Hexadecimal: d3cb

Square: 2939699961

Square Root: 232.84973695497274

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

Array read by antidiagonals: T(m,n) = number of m X n matrices M with entries {0,1,2} that have M1,1=0, Mm,n=2, are such that the rows and columns are monotonic without jumps of 2, and satisfy M(i+1),(j+1) = Mi,j + (0 or 1). A323846
Irregular triangle read by rows: T(n,d) (n >= 1, d <= n-1 for n>1) = number of n X n integer-valued matrices M such that M1,1=0, Mn,n=d, M(i+1),j = Mi,j + (0 or 1), Mi,(j+1) = Mi,j + (0 or 1), and M(i+1),(j+1) = Mi,j + (0 or 1). A323848
Number of n X n integer matrices (mi,j) such that m1,1=0, mn,n=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2. A306322
Number of 6 X n integer matrices (mi,j) such that m1,1=0, m6,n=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2. A323970
Number of nX6 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down. A253009
Number of n X n nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down. A253005
T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down. A253011
Concatenation of n in base 10 down to base 2 is divisible by at least one of these base b numbers, all numbers interpreted as decimals. A54219