Properties of the Number 13546

Thirteen Thousand Five Hundred Forty-Six

Basics

Value: 13545 → 13546 → 13547

Parity: even

Prime: No

Previous Prime: 13537

Next Prime: 13553

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 521

Divisors: 1, 2, 13, 26, 521, 1042, 6773, 13546

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011101010

Octal: 32352

Duodecimal: 7A0A

Hexadecimal: 34ea

Square: 183494116

Square Root: 116.3872845288522

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

Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes. A7811

a(n) = floor(n*φ¹³), where φ is the golden ratio, A001622. A4928

Triangle of q-binomial coefficients for q=-5. A15113

a(n) = (n³)/2 + (3·n²)/2 + 3·n + 3. A127873

Centered 15-gonal numbers: a(n) = (15·n² - 15·n + 2)/2. A69128

Number of permutations of [n] whose lengths of increasing runs are distinct Fibonacci numbers. A317444

Numbers n such that Fibonacci(n) is not squarefree, but for all proper divisors k of n, Fibonacci(k) is squarefree. A65069

Second elementary symmetric function of the first n terms of (1,1,2,2,3,3,4,4,...). A203246

Number of (w,x,y,z) with all terms in {1,...,n} and w+x<y+z. A212523

Triangle read by rows, iterates of matrix X * [1,0,0,0,...], where X = an infinite lower bidiagonal matrix with [1,3,1,3,1,3,...] in the main diagonal and [1,1,1,...] in the subdiagonal. A140070