9173
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9174
- 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
- 9172
- Möbius Function
- -1
- Radical
- 9173
- 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
- 109
- 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
- 1137
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=23A001275
- Let p = n-th odd prime. Then a(n) = least prime congruent to 5 modulo 8 such that Legendre(a(n), q) = -1 for all odd primes q <= p.at n=7A001992
- Let p = n-th odd prime. Then a(n) = least prime congruent to 5 modulo 8 such that Legendre(a(n), q) = -1 for all odd primes q <= p.at n=6A001992
- Coordination sequence for MgZn2, Mg position.at n=24A009939
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10).at n=44A017841
- Numbers k such that the continued fraction for sqrt(k) has period 29.at n=26A020368
- Primes that remain prime through 3 iterations of function f(x) = 2x + 7.at n=11A023275
- Substrings from the right are prime numbers (using only odd digits different from 5).at n=28A032437
- The 20 primes inside the 4 X 4 matrix with all the rows, columns and major diagonals being reversible non-palindromic and distinct primes (the smallest prime-magical square): [ 1933, 1283, 9551, 3719 ].at n=16A032530
- Primes with first digit 9.at n=34A045715
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 13.at n=26A050962
- Least prime in A031926 (lesser of 8-twins) whose distance to the next 8-twin is 6*n.at n=21A052353
- Primes with distinct digits in alphabetical order (in English).at n=36A053435
- Primes p with property that p concatenated with its emirp p' (prime reversal) forms a palindromic prime of the form 'primemirp' (rightmost digit of p and leftmost digit of p' are blended together - p and p' palindromic allowed).at n=44A054217
- Numbers k such that k^16 == 1 (mod 17^3).at n=28A056088
- a(n) gives least prime for which the n-th prime is the least prime which is not a primitive root of a(n) (see A060084), or 0 if the n-th prime never occurs in A060084.at n=9A060085
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=54A068896
- Diagonal of triangle in A082737.at n=35A082738
- Primes with at least four digits such that sum of any three_neighbor_digits is prime; first and last digits are neighbors.at n=26A086259
- Diagonal of A088262.at n=29A088263