Properties of the Number 13278

Thirteen Thousand Two Hundred Seventy-Eight

Basics

Value: 13277 → 13278 → 13279

Parity: even

Prime: No

Previous Prime: 13267

Next Prime: 13291

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2213

Divisors: 1, 2, 3, 6, 2213, 4426, 6639, 13278

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111011110

Octal: 31736

Duodecimal: 7826

Hexadecimal: 33de

Square: 176305284

Square Root: 115.23020437367974

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

a(n) = ∑_k=0..n binomial(n,k²). A3099

Numbers k such that k² contains exactly 9 different digits. A54037

a(n) = ∑_k=0..n binomial(n², k²). A206849

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186472

Number of 7/3+-power-free words over the alphabet {0,1}. A82380

Numbers k such that any two consecutive decimal digits of k² differ by 1 after arranging the digits in decreasing order. A370362

a(n) = n*(7·n² - 3·n - 1)/3. A214659

Expansion of f(-x, -x⁵)² / f(x, x³) in powers of·where f(, ) is Ramanujan's general θ function. A263041

G.f.: (1 - x/(1 - x²/(1 - x³/(1 - x⁴/(1 - ...))))) / (1 + x/(1 + x²/(1 + x³/(1 + x⁴/(1 + ...))))), a continued fraction. A285635

Triangle read by rows: T(n,k) (n >= 2, 1<=k<=n-1) is the number of permutations p of 1,...,n with max(|p(i)-p(i-1)|, i=2..n) = k. A64482