Properties of the Number 65089

Sixty-Five Thousand Eighty-Nine

Basics

Value: 65088 → 65089 → 65090

Parity: odd

Prime: Yes

Previous Prime: 65071

Next Prime: 65099

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 65089

Divisors: 1, 65089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111111001000001

Octal: 177101

Duodecimal: 31801

Hexadecimal: fe41

Square: 4236577921

Square Root: 255.12545933324648

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)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..2 nXk array. A218319

Number of vertices among all distinct circles that can be constructed from the 4 vertices and the equally spaced 4·n points placed on the sides of a square when every pair of the 4 + 4·n points are connected by a circle and where the points lie at the ends of the circle's diameter. A373106

Primes of the form 8k+1 generated recursively. Initial prime is 17. General term is a(n)=Min {p is prime; p divides (2Q)⁴ + 1}, where Q is the product of previous terms in the sequence. A125039

Primes whose base-6 representation also is the base-3 representation of a prime. A235469

Number of n X n binary matrices containing no more than eight 1s in any 3 X 3 sub-block. A140311

Hilltop maps: number of nX4 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..2 nX4 array. A218315

Hilltop maps: number of n X n binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..2 n X n array. A218312

Primes p such that q² - p² + 1 is the square of a composite number where p and q are consecutive primes. A316934

Volume (multiplied by 3) of polyhedron formed by points (i,j,k) in Z³ with i²+j²+k² = n². A65089

Rectangular array read by upward antidiagonals: A(n,k) = 1 + sqrt(k)*((1+sqrt(k))ⁿ - (1-sqrt(k))ⁿ)/2, n,k >= 0. A235803