Properties of the Number 13796

Thirteen Thousand Seven Hundred Ninety-Six

Basics

Value: 13795 → 13796 → 13797

Parity: even

Prime: No

Previous Prime: 13789

Next Prime: 13799

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 3449

Divisors: 1, 2, 4, 3449, 6898, 13796

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010111100100

Octal: 32744

Duodecimal: 7B98

Hexadecimal: 35e4

Square: 190329616

Square Root: 117.45637488020819

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 nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself. A266033

Numbers k such that 6·k+5, 6·k+11, 6·k+17, 6·k+23 are consecutive primes. A90836

Numbers n such that 6n+5, 6n+11, 6n+17, 6n+23 are consecutive primes or 6n+1, 6n+7, 6n+13, 6n+19 are consecutive primes. A90833

a(1)=1, a(2)=2, a(3)=3; for n >= 3, a(n) is smallest number such that all a(i) for 1 <= i <= n are distinct, all a(i)+a(j) for 1 <= i < j <= n are distinct and all a(i)+a(j)+a(k) for 1 <= i < j < k <= n are distinct. A36241

Smallest even fundamental discriminant k such that h(-k) = 2n, where h(D) is the class number of the quadratic field with discriminant D; or 0 if no such k exists. A344072

a(n) = ∑_i=0..n digsum₄(i)⁴, where digsum₄(i) = A053737(i). A231667

Expansion of ∏_k>=1 (1 + x^k²)²/(1 - x^k²)². A279227

T(n,k)=number of nXk arrays containing k indistinguishable copies of 1..n with lexicographical ordering of rows strictly increasing and columns strictly decreasing. A180843

Number of basis partitions of n+49 with Durfee square size 7. A53802

Number of permutations p of 1..n with sum (i-p(i))² <= (n+1)*n/2. A179264