Properties of the Number 71807

Seventy-One Thousand Eight Hundred Seven

Basics

Value: 71806 → 71807 → 71808

Parity: odd

Prime: Yes

Previous Prime: 71789

Next Prime: 71809

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 71807

Divisors: 1, 71807

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100001111111

Octal: 214177

Duodecimal: 3567B

Hexadecimal: 1187f

Square: 5156245249

Square Root: 267.96828170513015

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

Primes that remain prime through 4 iterations of function f(x) = 2x + 3. A23303

Indices of prime Fibonacci 5-step numbers, A001591. A248757

L.g.f.: log( ∑_n>=0 ∏_k=1..n ((1+x)^k - 1) ) = ∑_n>=1 a(n)*xⁿ/n. A207434

Consider constructing binary words that begin with 0 such that the subword 00, whenever it appears, is followed by 111. Then a(n) counts such words at length n (including those where the string 111 is yet being completed - see Example). A340215

Primes such that applying "reverse and add" twice produces two more primes. A174402

Numbers of undirected cycles in the n-crown graph. A234618

Number of pairs (x,y) such that prime(x) - prime(y) = x*τ(x) - y*τ(y), 1<=x<=y<=n. A71807