11213
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11214
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11212
- Möbius Function
- -1
- Radical
- 11213
- 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
- 99
- 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
- 1357
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Mersenne exponents: primes p such that 2^p - 1 is prime. Then 2^p - 1 is called a Mersenne prime.at n=22A000043
- Upper prime of a difference of 16 between consecutive primes.at n=37A031935
- Smallest prime with "n^2" as central digit(s).at n=11A038370
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 9.at n=20A050958
- Primes p such that p^10 reversed is also prime.at n=41A059703
- Primes whose sum of digits is 8.at n=37A062343
- Primes having only {1, 2, 3} as digits.at n=33A062350
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=13A067860
- Class 6- primes (for definition see A005109).at n=28A081425
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=12A088291
- Balanced primes of order five.at n=27A096697
- Balanced primes of order eight.at n=21A096700
- Integer part of the area of consecutive prime sided isosceles triangles.at n=36A097442
- Bisection of A000043.at n=11A099982
- List of Lyndon words on {1,2,3} sorted first by length and then lexicographically.at n=39A102660
- a(n) = Sum_{i=1..n} (n-i+1)*phi(i).at n=47A103116
- Negative of column k=3 sequence of array A103728.at n=11A103730
- Primes from merging of 5 successive digits in decimal expansion of the Champernowne Constant.at n=3A104948
- Primes whose product of digits is 6.at n=11A107692
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 8.at n=24A109562