11083
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11084
- 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
- 11082
- Möbius Function
- -1
- Radical
- 11083
- 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
- 68
- 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
- 1343
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=33A003405
- Reflectable emirps.at n=18A007628
- Number of ways to partition n labeled elements into pie slices of size at least 2 forming an aperiodic pattern.at n=8A032327
- Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=36A039881
- Primes of the form 4*k^2 + 4*k + 59.at n=43A048988
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=22A085957
- Primes of the form (prime(prime(k)) + prime(prime(k+1)))/2.at n=13A098042
- Primes by index in A001945.at n=51A104499
- a(n) = dimension of the space in which the sphere of radius n is of maximum volume.at n=41A121546
- Cyclops primes.at n=21A134809
- Primes of the form 43x^2+2xy+43y^2.at n=39A140041
- Primes congruent to 20 mod 37.at n=39A142129
- Primes congruent to 13 mod 41.at n=34A142210
- Primes congruent to 32 mod 43.at n=29A142281
- Primes congruent to 38 mod 47.at n=34A142389
- Primes congruent to 9 mod 49.at n=33A142421
- Primes congruent to 16 mod 51.at n=39A142486
- Primes congruent to 6 mod 53.at n=22A142536
- Primes congruent to 28 mod 55.at n=32A142621
- Primes congruent to 25 mod 57.at n=33A142680