9343
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9344
- 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
- 9342
- Möbius Function
- -1
- Radical
- 9343
- 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
- 60
- 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
- 1157
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of floor(5n/2) into n nonnegative integers each no more than 5.at n=34A001975
- Number of 4 X n binary matrices up to row and column permutations.at n=7A006148
- Triangle read by rows: T(n,k) = number of n-node graphs with k nodes in distinguished bipartite block, k = 0..n.at n=70A028657
- Triangle read by rows: T(n,k) = number of n-node graphs with k nodes in distinguished bipartite block, k = 0..n.at n=73A028657
- Primes that are palindromic in base 9.at n=22A029977
- Primes such that digits of p do not appear in p^3.at n=18A030087
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 95.at n=30A031593
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 58 ones.at n=11A031826
- Numbers whose base-5 representation contains exactly three 3's and two 4's.at n=29A045306
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=15A052233
- Prime number spiral (clockwise, Southeast spoke).at n=17A054564
- a(n) = Sum_{k=1..n} lcm(k,n)/gcd(k,n).at n=35A056789
- Smallest prime of form (2n+1)*2^m-1 for some m, or 0 if no such prime exists.at n=36A057026
- Right diagonal of triangle in A072467.at n=17A072469
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (2,6).at n=43A073650
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the first term of each group.at n=45A074129
- Primes p such that p-1 and p+1 are both divisible by cubes (other than 1).at n=34A086708
- Primes from merging of 4 successive digits in decimal expansion of cos(1).at n=13A104960
- Primes in A112714.at n=37A112715
- Primes p=prime(k) of level (1,2), i.e., such that A118534(k) = prime(k-2).at n=43A117876