Properties of the Number 13777

Thirteen Thousand Seven Hundred Seventy-Seven

Basics

Value: 13776 → 13777 → 13778

Parity: odd

Prime: No

Previous Prime: 13763

Next Prime: 13781

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 23 × 599

Divisors: 1, 23, 599, 13777

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111010001

Octal: 32721

Duodecimal: 7B81

Hexadecimal: 35d1

Square: 189805729

Square Root: 117.37546592026803

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

Centered 16-gonal numbers. A69129

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7. A252407

Number of compositions (ordered partitions) of n into distinct parts such that number of parts is odd. A332304

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203452

a(n) = (n - 1)*(n² + n - 1). A33445

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 3. A252447

Number of unlabeled nonseparable (or 2-connected) loopless multigraphs with n edges. A10357

Powers of fourth root of 2 rounded down. A18048

Third row of Pascal-(1,7,1) array A081582. A81593

a(n) = 2·prime(n)² - 1. A179262