11113
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11114
- 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
- 11112
- Möbius Function
- -1
- Radical
- 11113
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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
- 1346
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sextan primes: p = (x^6 + y^6)/(x^2 + y^2).at n=21A002647
- Cubes written in base 4.at n=6A004634
- Primes that contain digits 1 and 3 only.at n=11A020451
- Numbers whose product of digits is prime.at n=41A028842
- a(n) is the least prime > a(n-1) whose digits do not appear in a(n-1).at n=26A030284
- Lucky numbers with size of gaps equal to 16 (upper terms).at n=34A031899
- Upper prime of a difference of 20 between consecutive primes.at n=19A031939
- Numbers having only digits 1 and 3 in their decimal representation.at n=31A032917
- Numbers whose maximal base-10 run length is 4.at n=12A033285
- Numbers with multiplicative digital root value 3.at n=10A034050
- Smallest prime containing at least n consecutive identical digits.at n=3A034388
- Smallest n-digit prime containing only digits 1 and 3, or 0 if no such prime exists.at n=4A036930
- Numbers having four 1's in base 10.at n=6A043496
- Multiplicative primes: product of digits is a prime.at n=18A046703
- Multiplicative and additive primes: primes where the product and sum of digits are also prime.at n=9A046713
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=25A052164
- Numbers n such that sum of digits and product of digits are both prime.at n=16A052430
- Start with the prime 11; next prime must exceed previous prime, contain no 0's and start with last digit of previous prime.at n=7A053649
- Primes arising in A053782.at n=21A053872
- Triangle of number of rises in restricted growth strings (RGS) for the set partitions of n.at n=63A056858