11171
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
- 11172
- 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
- 11170
- Möbius Function
- -1
- Radical
- 11171
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1353
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=30A002148
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=44A007700
- Numbers k such that the continued fraction for sqrt(k) has period 82.at n=33A020421
- Primes that contain digits 1 and 7 only.at n=10A020455
- Primes that remain prime through 3 iterations of function f(x) = 8x + 3.at n=4A023292
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=30A023298
- Numbers with multiplicative digital root value 7.at n=11A034054
- Numbers having four 1's in base 10.at n=18A043496
- Multiplicative primes: product of digits is a prime.at n=21A046703
- Multiplicative and additive primes: primes where the product and sum of digits are also prime.at n=12A046713
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=25A052163
- Numbers n such that sum of digits and product of digits are both prime.at n=19A052430
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=25A059762
- a(n) = a(n-1) + floor(a(n-2)/2) with a(0)=1, a(1)=2.at n=30A064324
- Record numbers in A064791.at n=7A064832
- Primes which, although they have correct parity, are not in the prime number maze.at n=20A065123
- Primes with all odd digits such that the next three primes also contain all odd digits.at n=10A068831
- Primes having only {1, 4, 7} as digits.at n=24A079651
- Primes that are a concatenation of a prime and its first digit.at n=35A085414
- Primes such that least significant digit swapped with all other digits yields primes.at n=33A090934