Properties of the Number 36877

Thirty-Six Thousand Eight Hundred Seventy-Seven

Basics

Value: 36876 → 36877 → 36878

Parity: odd

Prime: Yes

Previous Prime: 36871

Next Prime: 36887

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 36877

Divisors: 1, 36877

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000000001101

Octal: 110015

Duodecimal: 19411

Hexadecimal: 900d

Square: 1359913129

Square Root: 192.03385118254542

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

T(n,k) = Number of (n+2) X (k+2) binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals. A202777

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,3,0,2,2 for x=0,1,2,3,4. A197561

Primes of the form k² + 13. A138375

Primes that remain prime through 4 iterations of function f(x) = 2x + 3. A23303

Value of C in y = x² + 9x + C such that y is prime for all x = 0 to 5. A97437

Primes p such that 2·p⁵-+3 are also prime. A174368

Number of nX5 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,3,0,2,2 for x=0,1,2,3,4. A197558

Number of (n+2) X 4 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals. A202771

Number of length 3+2 0..n arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A251430

Numbers n such that there is precisely 1 group of order n, 2 of order n + 1 and 3 of order n + 2. A296024