Properties of the Number 6089

Six Thousand Eighty-Nine

Basics

Value: 6088 → 6089 → 6090

Parity: odd

Prime: Yes

Previous Prime: 6079

Next Prime: 6091

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 6089

Divisors: 1, 6089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111001001

Octal: 13711

Duodecimal: 3635

Hexadecimal: 17c9

Square: 37075921

Square Root: 78.03204469959762

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

Number of integer partitions of n that can be partitioned into distinct pairs of distinct parts, i.e., into a set of edges. A339560

Primes with first digit 6. A45712

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A251037

Number of compositions of n with all adjacent parts (x,y) satisfying x < 2y and y < 2x. A342330

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the generalized pattern 12-3; triangle T(n,k), n>=0, 0<=k<=(n-1)*(n-2)/2-[n=0], read by rows. A260665

Primes p for which the period of reciprocal = (p-1)/8. A56213

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219915

Lesser of twin primes p1 and p2 such that 2·p1+p2 is a prime number. A174913

Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5. A75585

a(1) = 2; a(n) is smallest prime > 3·a(n-1). A76656