9533
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9534
- 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
- 9532
- Möbius Function
- -1
- Radical
- 9533
- 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
- 52
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1180
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 39.at n=15A020378
- a(n) = A026568(n,n-1), also a(n) = number of integer strings s(0),...,s(n) counted by A026568 such that s(n)=1.at n=11A026570
- Number of partitions satisfying (cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5) and cn(4,5) <= cn(2,5) and cn(4,5) <= cn(3,5)).at n=43A036803
- Recursive prime generating sequence.at n=44A039726
- Primes of the form 2*n^2 + 11.at n=36A050265
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 11.at n=21A050960
- Least prime in A031924 (lesser of 6-twins) such that the distance to the next 6-twin is 2*n.at n=37A052352
- Prime numbers with odd digits in descending order.at n=28A061245
- First occurrence prime gaps of the primes in sequence A002313 (Real primes with corresponding complex primes). a(0) = 2 with length of gap 3. For n>0 the size of the gap in the sequence is 4n, a(n) is the starting prime of the gap.at n=17A084160
- Primes that are the sum of two squares and which set a record for the gap to the next prime of that form.at n=9A084161
- Smallest prime of the form (prime(n)*prime(n+1)+q)/2 for some integer n and some prime q.at n=31A100557
- Primes from merging of 4 successive digits in decimal expansion of Catalan's constant.at n=27A104918
- Primes p such that the polynomial x^4-x^3-x^2-x-1 mod p has 4 distinct zeros.at n=35A106280
- Primes that do not divide any term of the Lucas 4-step sequence A073817.at n=7A106300
- A variation on Flavius's sieves (A000960, A099207): Start with the Chen primes; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=27A118500
- Numbers n such that ((1+I)^n+1)/(2+I) is a Gaussian prime.at n=20A124112
- Primes p such that (2^p - 2^((p+1)/2) + 1)/5 is prime.at n=14A125742
- Least prime P such that P^(2*prime(n))-P^prime(n)-1 is prime with prime(n) the n-th prime.at n=31A131580
- Values of A134204(n) for n in A133242.at n=15A133243
- Primes whose decimal, binary and binary-decimal reversals are all prime.at n=43A136187