Properties of the Number 13506

Thirteen Thousand Five Hundred Six

Basics

Value: 13505 → 13506 → 13507

Parity: even

Prime: No

Previous Prime: 13499

Next Prime: 13513

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 2251

Divisors: 1, 2, 3, 6, 2251, 4502, 6753, 13506

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011000010

Octal: 32302

Duodecimal: 7996

Hexadecimal: 34c2

Square: 182412036

Square Root: 116.21531740695802

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) = floor(sqrt(a(n-1)² + a(n-2)²)), a(1)=1, a(2)=3. A104803

Numbers which are the sum of their proper divisors containing the digit 5. A59464

a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k. A24847

Numbers starting with 1 such that the sum of any two distinct elements has an even number of distinct prime factors. A180514

G.f. A(x) satisfies: A( x²*A(x) - x²*A(x)² ) = x³. A272463

Partitions with parts repeated at most twice and repetition only allowed if first part has an odd index (first index = 1). A227134

Centered pentagonal numbers which are products of three distinct primes. A364610

a(n) = ∑_{k=0..floor(n/4)} binomial(2·k,k) * binomial(n-2·k-1,n-4·k). A393277

a(n) = ∑_i=0..n-1 a(i)*a(n-i) with a(0)=1, a(1)=6. A14435

Smallest number m such that A118164(m) = n. A118165