6089
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6090
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 6088
- Möbius Function
- -1
- Radical
- 6089
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 794
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Quadruples of different integers from [ 1,n ] with no common factors between pairs.at n=33A015623
- Numbers k such that the continued fraction for sqrt(k) has period 47.at n=11A020386
- Let q_k=p(p+2) be product of k-th pair of twin primes; sequence gives values of p such that (q_k)^2 > q_{k-i}q_{k+i} for all 1 <= i <= k-1.at n=38A021005
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=38A023253
- Primes that remain prime through 3 iterations of function f(x) = 5x + 4.at n=13A023284
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=24A023301
- Primes that remain prime through 4 iterations of function f(x) = 10x + 9.at n=6A023329
- Primes that remain prime through 5 iterations of the function f(x) = 10x + 9.at n=2A023357
- Number of dyslexic planted planar trees with n+1 nodes where any 2 subtrees extending from the same node are different.at n=13A032065
- Increasing gaps among twin primes: the smallest prime of the second twin pair.at n=9A036062
- Primes with first digit 6.at n=28A045712
- Primes having only {0, 6, 8, 9} as digits.at n=2A053580
- Primes p for which the period of reciprocal = (p-1)/8.at n=12A056213
- Primes of the form k^2 + 5.at n=6A056905
- The primes in A045574.at n=38A057770
- a(1) = 1; a(n+1) = sum of terms in continued fraction for the sum of the continued fractions, [a(1); a(2), a(3), ..., a(n)] and [0; a(1), a(2), a(3), ..., a(n)].at n=42A058082
- Primes p such that p^10 reversed is also prime.at n=28A059703
- Smaller of twin primes whose middle term is a multiple of A002110(4)=210.at n=6A060230
- Record-setting n's for the function q(n), the minimum prime q such that n(q+1)-1 is prime p (i.e., q(n) > q(j) for all 0 < j < n).at n=11A060424
- Between p and the next prime either there are no numbers or there is a single squarefree number.at n=44A061351