11173
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11174
- 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
- 11172
- Möbius Function
- -1
- Radical
- 11173
- 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
- 112
- 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
- 1354
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Crystal ball sequence for hyperbolic tessellation 3^7 (from triangle group (2,3,7)).at n=8A001360
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 58 ones.at n=18A031826
- "CGK" (necklace, element, unlabeled) transform of 2,2,2,2,...at n=16A032156
- n plus a googol is prime.at n=33A049014
- Primes of the form k^2 + prime(k) + 1.at n=8A063461
- n-th prime in the arithmetic progression n+k*(n+1) with k>0.at n=35A088733
- Smallest prime of the form prime(k) concatenated with prime(k+n).at n=34A089782
- Prime numbers that are 2 less than a prime-indexed odd triangular number or 1 more than a prime-indexed even triangular number.at n=21A096333
- Smallest odd prime p such that n=(p-1)/ord_p(3).at n=41A101209
- Primes p such that 2*p +/- 3 and 8*p +/- 3 are all primes.at n=9A106022
- Primes p such that p + googol is prime.at n=7A108250
- Primes p such that p's set of distinct digits is {1,3,7}.at n=8A108382
- Row sums of A110537 viewed as a number triangle.at n=14A110538
- Primes such that the sum of the predecessor and successor primes is divisible by 37.at n=38A113156
- Primes p that remain prime through at least 2 iterations of the function f(p) = p^2 + 4.at n=28A116886
- Primes p that remain prime through at least 3 iterations of function f(p)=p^2+4.at n=1A116887
- Primes whose SOD and that of their indices are both prime and equal (indices may not be prime, but their SOD must be prime).at n=35A117477
- Zeroless numbers for which the sum of the digits and the product of the digits are both Fibonacci numbers.at n=34A117725
- Lucky numbers for which both the sum of the digits and the product of the digits is also a lucky number.at n=17A118559
- Primes of the form k(k+1)/2-2 (i.e., two less than triangular numbers).at n=43A124199