9467
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9468
- 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
- 9466
- Möbius Function
- -1
- Radical
- 9467
- 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
- 104
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1173
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=20A002148
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=66A011911
- 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 97.at n=7A031595
- Numbers whose base-5 representation contains exactly two 0's and three 3's.at n=31A045198
- Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime.at n=23A046122
- Primes of the form 4*k^2 + 4*k + 59.at n=39A048988
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=11A052234
- Primes p such that p^6 reversed is also prime.at n=42A059699
- Start of the first run of exactly n consecutive primes, none of which are twin primes.at n=15A065044
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=56A068896
- a(n) = if Floor[(2*Pi/E)*m^2] is prime then Floor[(2*Pi/E)*m^2].at n=6A090434
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=30A094454
- Numbers p such that p = (prime(n)+ prime(n+3))/2 is prime for prime indices n=2, 3, 5...at n=14A098039
- Primes with distinct digits appearing in partition of decimal expansion of Pi.at n=46A104820
- Primes p=prime(k) of level (1,2), i.e., such that A118534(k) = prime(k-2).at n=44A117876
- Primes p such that denominator of Sum_{k=1..p-1} 1/k^2 is a square and denominator Sum_{k=1..p-1} 1/k^3 is a cube.at n=41A127061
- Primes of the form 3x^2+455y^2.at n=34A140015
- Primes of the form 24x^2+24xy+83y^2.at n=35A140038
- Primes of the form 210k + 17.at n=23A140842
- Primes congruent to 12 mod 31.at n=43A142016