11027
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11028
- 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
- 11026
- Möbius Function
- -1
- Radical
- 11027
- 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
- 1337
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(0) = 1, a(n) = 9*n^2 + 2 for n>0.at n=35A010002
- a(0) = 1, a(n) = 25*n^2 + 2 for n > 0.at n=21A010015
- The $620 prime list.at n=5A018188
- Primes that remain prime through 3 iterations of function f(x) = 10x + 3.at n=32A023300
- Lower prime of a difference of 20 between consecutive primes.at n=18A031938
- Least prime in A031938 (lesser of primes differing by 20) whose distance to the next 20-twin is 6*n.at n=7A052359
- Second term of strong prime 5-tuples: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=27A054809
- Primes of the form k(k+1)/2+1 (i.e., central polygonal numbers, or one more than triangular numbers).at n=39A055469
- Primes of the form k^2 + 2.at n=12A056899
- Primes p such that x^37 = 2 has no solution mod p.at n=37A059223
- Numbers n such that 1n1, 3n3, 7n7 and 9n9 are all primes.at n=26A059677
- Primes p such that 1p1, 3p3, 7p7 and 9p9 are all primes.at n=7A059694
- Primes which can be expressed as concatenation of cubes.at n=26A066592
- a(n) = (p^2 - p + 2)/2 for p = prime(n); number of squares modulo p^2.at n=34A072205
- Primes associated with groups in A076077.at n=25A076076
- Duplicate of A056899.at n=12A089921
- Poincaré series [or Poincare series] (or Molien series) for a certain six-fold wreath product P_6.at n=37A091769
- Primes p such that p - 6 is a product of two consecutive primes.at n=14A098061
- Primes of the form m^k+k, with m and k > 1.at n=16A099227
- Primes for which the level is equal to 9 in A117563.at n=30A118481