9437
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9438
- 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
- 9436
- Möbius Function
- -1
- Radical
- 9437
- 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
- 1169
- 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 41.at n=20A020380
- a(n) = a(n-1) + a(n-2) + 1, with a(0)=3, a(1)=12.at n=15A022411
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=29A023301
- Primes such that in p^2 the parity of digits alternates.at n=41A030145
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 13.at n=27A050962
- First of four consecutive primes that comprise two sets of twin primes.at n=37A053778
- Twin primes belonging to packs of four or more twin pairs.at n=4A068220
- Twin primes belonging to packs of three or more twin pairs.at n=41A069467
- Frobenius number of the numerical semigroup generated by four consecutive tetrahedral numbers.at n=9A069761
- Primes p such that 13 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=15A080188
- a(n) = p is the smallest prime introducing a consecutive prime-difference pattern as follows: [2,2n,2], i.e., [p, p+2, p+2+2n, p+2+2n+2] are consecutive primes. Increasing middle prime gap in the immediate neighborhood of two small gaps(=2); a(n) = 0 if no such pattern exists.at n=10A082512
- Smallest member of a pair of consecutive twin prime pairs that have no primes between them.at n=38A089628
- Primes p such that p+2, p^2 - 2p + 2, and p^2 - 2p + 4 are all prime.at n=7A101315
- Lower bound b of twin primes pairs such that b's digital reverse is also prime.at n=43A101781
- Lower bound twin primes such that their digital reverse is prime and a lower bound twin prime.at n=13A101783
- x such that pi(x)/li(x) is greater than it is for all smaller x > 1.5.at n=40A111203
- Twin prime pairs k-1 and k+1 such that the squares of both are present in A115557.at n=36A115560
- Least K such that K*p(n)#-1 is the first of twin primes and 2*(K*p(n)#-1)+1 is prime, so K*p(n)#-1 is the first of twin primes and a Sophie Germain prime.at n=31A117848
- a(n) = p, the lesser of twin primes (p, q=p+2) such that p*q - p - q is prime.at n=42A128551
- a(n) is the n-th prime of the form x^2+n.at n=27A128968