6589
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7200
- Proper Divisor Sum (Aliquot Sum)
- 611
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5980
- Möbius Function
- 1
- Radical
- 6589
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 137
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=37A024846
- T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A027144.at n=11A027152
- Numbers k such that in k and k^2 the parity of digits alternates.at n=31A030153
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=6A031824
- Numerators of continued fraction convergents to sqrt(143).at n=4A041262
- Number of unlabeled rooted 2,3 cacti (triangular cacti with bridges).at n=9A091486
- A bisection of A000960.at n=45A099062
- Sum of the prime(n) primes following prime(n).at n=13A099274
- Start with 1 and repeatedly reverse the digits and add 67 to get the next term.at n=36A118214
- Number of base 23 n-digit numbers with adjacent digits differing by three or less.at n=4A126491
- Number of primitive (no repeated characters) and irreducible (not the concatenation of generatable strings) strings obtained from abc by iterated repetition of substrings in place.at n=45A135157
- a(n)=(n^4-n^3-n^2-n)/2.at n=11A171129
- Power floor sequence of 2+sqrt(6).at n=5A218984
- Number of 4-ary plane multitrees with n edges.at n=8A246975
- Number of length n+2 0..4 arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero.at n=3A251424
- T(n,k)=Number of length n+2 0..k arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero.at n=24A251428
- Number of length 4+2 0..n arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero.at n=3A251431
- a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise differences of elements are distinct, and for 1<m<n, a(m) does not divide a(n).at n=43A256062
- Composites whose prime factorization in base 4 is an anagram of the number in base 4.at n=18A260048
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 531", based on the 5-celled von Neumann neighborhood.at n=47A272750