Properties of the Number 13776

Thirteen Thousand Seven Hundred Seventy-Six

Basics

Value: 13775 → 13776 → 13777

Parity: even

Prime: No

Previous Prime: 13763

Next Prime: 13781

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 × 41

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010111010000

Octal: 32720

Duodecimal: 7B80

Hexadecimal: 35d0

Square: 189778176

Square Root: 117.37120600896968

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

Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere. A35008

Triangle of B-analogs of Stirling numbers of the second kind. A39755

Numbers k such that k⁵¹² + 1 is prime. A57465

Chebyshev sequence U(n,12)=S(n,24) with Diophantine property. A77423

Increments used in Sedgewick-Incerpi upper bound for shell sort. A36569

Primitive terms of A023197: numbers k such that σ(k)/k >= 3, but for every proper divisor, d∣k, d<k, σ(d)/d < 3. A388019

Chebyshev polynomial of the second kind U(3,n). A144138

Expansion of (1 / theta₄(x) - 1)⁷ / 128. A341368

a(n) = n³ - 2·n. A242135

Sum T(n,k) of multinomials M(n; λ), where λ ranges over all partitions of n into parts incorporating k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327801