Properties of the Number 30017

Thirty Thousand Seventeen

Basics

Value: 30016 → 30017 → 30018

Parity: odd

Prime: No

Previous Prime: 30013

Next Prime: 30029

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 13 × 2309

Divisors: 1, 13, 2309, 30017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111010101000001

Octal: 72501

Duodecimal: 15455

Hexadecimal: 7541

Square: 901020289

Square Root: 173.25414857947845

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300966

Number of 2 X 2 matrices having all terms in {1,...,n} and even determinant. A211064

Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and even determinant. A211154

Numbers k such that the continued fraction for sqrt(k) has period 71. A20410

Number of length n+4 0..6 arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two. A248985

Number of length 7+4 0..n arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two. A248994

Number of n X 3 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300961

Semiprimes k such that k+4, k+6, k+9, k+10 and k+14 are also semiprimes. A360666

Numbers k such that k + 4, k + 6, k + 9, k + 10, and k + 14 are all semiprimes, where 4, 6, 9, 10, 14 are the first 5 semiprimes. A365240

a(1) = 1, a(n+1) = ∑_{k = 1..n} p(k)*a(n+1-k), where p(k) is the k-th prime. A30017