9293
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9294
- 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
- 9292
- Möbius Function
- -1
- Radical
- 9293
- 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
- 184
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1151
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = (5*n + 1)^2 + 4*n + 1.at n=19A007533
- Numbers k such that the continued fraction for sqrt(k) has period 3.at n=26A013643
- Primes that remain prime through 3 iterations of function f(x) = 3x + 4.at n=9A023278
- Primes formed by concatenating n with n+1.at n=13A030458
- Smallest nontrivial extension of n-th palindromic prime which is a prime.at n=19A030680
- Lower prime of a difference of 18 between consecutive primes.at n=37A031936
- Number of conjugacy classes of elements of order n in E_8(C).at n=26A045514
- Primes whose consecutive digits differ by 6 or 7.at n=18A048418
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=31A050666
- Primes whose decimal expansion is a concatenation of two or more consecutive increasing numbers (no leading zeros allowed).at n=14A052087
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(P).at n=40A057470
- Smallest prime p associated with A064164(n).at n=36A064229
- Primes whose 10's complement is a palindrome.at n=41A083017
- Starting positions of strings of three 2's in the decimal expansion of Pi.at n=11A083606
- Smallest prime p such that (2n)*p +1 and (p-1)/(2n) are prime, or 0 if no such prime exists.at n=45A085956
- a(n) = A085956(3n+1).at n=15A086362
- a(n) = prime(A096475(n)).at n=10A096476
- Primes of the form a^5 + b^3 with a,b>0.at n=17A100273
- Smallest prime a(n) such that concatenation of first n+1 primes starting from a(n), separated by n zeros, is prime.at n=31A102109
- Primes from merging of 4 successive digits in decimal expansion of the Champernowne Constant.at n=16A104947