11071
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11072
- 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
- 11070
- Möbius Function
- -1
- Radical
- 11071
- 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
- 130
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1342
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that are palindromic in base 9.at n=25A029977
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 82 ones.at n=4A031850
- Primes p such that x^41 = 2 has no solution mod p.at n=33A059236
- Smallest prime that is obtained by placing digits on both sides of the n-th prime. Or smallest prime that encompasses the n-th prime.at n=27A075595
- Primes p such that p-1 and p+1 are both divisible by cubes (other than 1).at n=39A086708
- Primes arising in A090266.at n=27A090267
- Smallest prime obtained by sandwiching prime(n) between identical digits, except that a(5) = 0.at n=27A090268
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=33A094454
- Least initial value for an Euclid/Mullin sequence whose 4th term is prime(n). prime(1)=2 is never a fourth term, so offset=2.at n=40A094465
- Primes arising in A032682.at n=33A099677
- Primes of the form 64n+63.at n=37A127579
- Cyclops primes.at n=20A134809
- Prime numbers of the form 24*p + 7 where p is prime.at n=35A135985
- Toothpick primes: primes in the toothpick sequence A139250.at n=41A139253
- Primes of the form 15x^2+91y^2.at n=39A140022
- Primes congruent to 8 mod 37.at n=34A142117
- Primes congruent to 20 mod 43.at n=33A142269
- Primes congruent to 26 mod 47.at n=30A142377
- Primes congruent to 46 mod 49.at n=31A142453
- Primes congruent to 4 mod 51.at n=41A142478