11117
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
- 11118
- 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
- 11116
- Möbius Function
- -1
- Radical
- 11117
- 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
- 161
- 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
- 1347
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=10A000333
- Number of simple connected graphs on n unlabeled nodes.at n=8A001349
- Smallest number that requires n iterations of the unitary totient function (A047994) to reach 1.at n=21A003271
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=20A020396
- Primes that contain digits 1 and 7 only.at n=9A020455
- Primes that remain prime through 2 iterations of function f(x) = 8x + 1.at n=27A023260
- Primes that remain prime through 3 iterations of function f(x) = 8x + 1.at n=5A023291
- Numbers whose product of digits is prime.at n=43A028842
- Numbers k such that 65*2^k+1 is prime.at n=35A032382
- Numbers whose maximal base-10 run length is 4.at n=16A033285
- Numbers with multiplicative digital root value 7.at n=10A034054
- Smallest n-digit prime containing only digits 1 and 7, or 0 if no such prime exists.at n=4A036934
- Numbers whose maximal base-8 run length is 4.at n=32A037995
- Numbers having four 5's in base 8.at n=2A043444
- Numbers having four 1's in base 10.at n=10A043496
- Multiplicative primes: product of digits is a prime.at n=19A046703
- Multiplicative and additive primes: primes where the product and sum of digits are also prime.at n=10A046713
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 21.at n=16A051962
- Numbers n such that sum of digits and product of digits are both prime.at n=17A052430
- Lesser of irregular twin primes.at n=34A060012