9133
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9134
- 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
- 9132
- Möbius Function
- -1
- Radical
- 9133
- 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
- yes
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1132
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=40A001994
- Numbers that are the sum of 8 positive 7th powers.at n=33A003375
- Numbers k such that the continued fraction for sqrt(k) has period 29.at n=25A020368
- Numbers k such that 33*2^k+1 is prime.at n=25A032366
- 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=15A032530
- Recursive prime generating sequence.at n=43A039726
- Primes with first digit 9.at n=29A045715
- Primes p such that p^12 reversed is also prime.at n=22A059705
- Geometric mean of the digits = 3. In other words, the product of the digits is = 3^k where k is the number of digits.at n=25A061427
- Numbers, not composed of the same digits, such that the geometric and arithmetic means of their decimal digits are integers.at n=41A067452
- Primes with all odd digits such that the next three primes also contain all odd digits.at n=7A068831
- a(n) = prime(n*(n+1)/2+4).at n=47A078725
- Prime numbers occurring at integer Pythagorean distance (radius) from 1 in Ulam square prime-spiral. Primes on axes are excluded.at n=20A078765
- Number of compositions (ordered partitions) of n into parts 1, 2, and 5.at n=18A079971
- Primes of the form 6*p - 5 such that p and 6*p - 1 are primes.at n=37A090607
- Primes from merging of 4 successive digits in decimal expansion of exp(2).at n=14A105000
- Primes p such that p's set of distinct digits is {1,3,9}.at n=16A108383
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=54A117807
- Integers k such that the k-th triangular number t_k has all its base-12 digits contained in {1,5,7,11}.at n=7A118711
- Primes of the form 2*p(k)+3*p(k+1)+4*p(k+2) for some k, where p(k)=A000040(k).at n=29A138665