Properties of the Number 75209

Seventy-Five Thousand Two Hundred Nine

Basics

Value: 75208 → 75209 → 75210

Parity: odd

Prime: Yes

Previous Prime: 75193

Next Prime: 75211

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 75209

Divisors: 1, 75209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010111001001

Octal: 222711

Duodecimal: 37635

Hexadecimal: 125c9

Square: 5656393681

Square Root: 274.2425933366296

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2, 6,6]; short d-string notation of pattern = [266]. A78849

a(n) = 1 + 2·least i such that A103507(i)=n+1, 0 if no such i exists. A103508

Primes of the form 1+2·n+3·n². A122430

Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,6,4). A78950

Primes p such that p+2, (p²-1)/2+p and (p²+3)/2+3·p are also prime. A352948

Difference between A002110(n) and the largest semiprime b·c < A002110(n) where b is prime(n+1). A283425

Number of polyhexes with n cells that tile the plane both by translation and by 180-degree rotation (Conway criterion). A75209

Least number of vertices of a universal graph for connected n-vertex graphs, i.e., a graph containing as induced subgraphs isomorphic copies of all connected n-vertex graphs. A370003