Properties of the Number 13476

Thirteen Thousand Four Hundred Seventy-Six

Basics

Value: 13475 → 13476 → 13477

Parity: even

Prime: No

Previous Prime: 13469

Next Prime: 13477

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 1123

Divisors: 1, 2, 3, 4, 6, 12, 1123, 2246, 3369, 4492

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010010100100

Octal: 32244

Duodecimal: 7970

Hexadecimal: 34a4

Square: 181602576

Square Root: 116.0861748874516

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 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4. A239649

a(n) = (9·n² - 5·n + 2)/2. A140064

Number of permutations (p(1),p(2),...,p(n)) of (1,2,...,n) such that p(i)-i is in {-2,-1,4} for all i=1,...,n. A376743

High temperature series for spherical model susceptibility on 3-dimensional simple cubic lattice. A3279

E.g.f. satisfies log(A(x)) = x * (exp(x) - 1) * A(x)³. A356798

Arithmetic derivative of (prime(n)+1)*(prime(n+1)+1)/4. A79094

Constant term of the reduction by x²->x+1 of the polynomial p(n,x) defined below in Comments. A192748

Coefficient of q⁴ in the polynomial NT_n,μ(q). A235594

a(n) is the number of prime sets such that each set contains enough prime numbers to decompose every even number from 6 to 2n into the sum of two of its elements (reuse allowed), while none of the sets is a subset of another such set. A237638

Concatenation of first n elements of the σ function, where σ(n) is the sum of divisors of n. A132930