Properties of the Number 18542

Eighteen Thousand Five Hundred Forty-Two

Basics

Value: 18541 → 18542 → 18543

Parity: even

Prime: No

Previous Prime: 18541

Next Prime: 18553

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 73 × 127

Divisors: 1, 2, 73, 127, 146, 254, 9271, 18542

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100100001101110

Octal: 44156

Duodecimal: A892

Hexadecimal: 486e

Square: 343805764

Square Root: 136.16901262769

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 ordered triples (w,x,y) with all terms in {1,...,n} and w³ >= x³ + y³. A211651

Diagonal sums of "correlation triangle" for 2ⁿ. A115217

Coordination sequence for MgCu2, Cu position. A9930

Number of binary strings of length n with no substrings equal to 0001 0011 or 0101. A164454

A156977/3. A164565

Number of -2..2 arrays x(0..n-1) of n elements with nonzero sum and with zero through n-1 differences all nonzero. A200159

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with nonzero sum and with zero through n-1 differences all nonzero. A200165

Number of j (0 <= j <= n) such that the central binomial coefficient C(n,floor(n/2)) = A001405(n) is divisible by C(n,j). A80383

a(n) is the maximum length of a snake-like polyomino in an n X n square that starts and ends at opposite corners. A357234

Number of snake-like polyominoes in an n X n square that start at the NW corner and end at the SE corner and have the maximum length. A357516