Properties of the Number 6807

Six Thousand Eight Hundred Seven

Basics

Value: 6806 → 6807 → 6808

Parity: odd

Prime: No

Previous Prime: 6803

Next Prime: 6823

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2269

Divisors: 1, 3, 2269, 6807

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010010111

Octal: 15227

Duodecimal: 3B33

Hexadecimal: 1a97

Square: 46335249

Square Root: 82.50454532933323

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) = 4·n² - 6·n + 3. A54569

p²-p+1 central polygonal numbers with prime indices A002061(prime(n)). A119959

Symmetric secondary structures of RNA molecules with n nucleotides. A88518

Rocket Sequence 34: a(0)=34, a(n) = A073846(a(n-1)). A261314

a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k. A24835

Antidiagonal sums of table A088925, which lists coefficients T(n,k) of xⁿ*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x-y) + xy·f(x,y)³. A88927

Numbers of the form k²+k+1 that are the product of two distinct primes. A176069

a(n) = floor(∏_k=2..n log(k)). A56690

Sum of the remainders when the n-th triangular number is divided by all smaller triangular numbers > 1. A72524

Numbers n for which φ(n)=σ(n'), where φ is the Euler totient function, σ is the sum of divisors and n' the arithmetic derivative of n. A189057