Properties of the Number 30517

Thirty Thousand Five Hundred Seventeen

Basics

Value: 30516 → 30517 → 30518

Parity: odd

Prime: Yes

Previous Prime: 30509

Next Prime: 30529

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 30517

Divisors: 1, 30517

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111011100110101

Octal: 73465

Duodecimal: 157B1

Hexadecimal: 7735

Square: 931287289

Square Root: 174.69115604403103

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 of form n² + 14641. A256839

Array read by antidiagonals: T(m,n) = number of dominating sets in the lattice (rook) graph K_m X K_n. A287274

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element. A251100

a(n) = ∑_k=1..n T(n,k), array T as in A049790. A49791

G.f. A(x) satisfies: A(x) = ∑_n>=0 xⁿ * A(x)ⁿ * ∏_k=0..n-1 (5·k + 1). A302565

Primes p such that p + googol is prime. A108250

Irregular triangle T(n,c) read by rows: the number of clusters of n spheres centered on f.c.c. lattice sites with c contacts. A300812

a(n) = floor(sqrt(Fibonacci(n+1)) - sqrt(Fibonacci(n))). A63595

Number of (n+1) X (2+1) 0..1 arrays with no 2 X 2 subblock having its minimum diagonal element less than its minimum antidiagonal element. A251094

Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element. A251097