6113
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6114
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6112
- Möbius Function
- -1
- Radical
- 6113
- 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
- 155
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 797
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Erroneous version of A309982.at n=14A006775
- Describe the previous term! (method B - initial term is 6).at n=3A022502
- Number of functions of n points with no fixed points and with no symmetries.at n=12A032178
- Primes with indices that are primes with prime indices.at n=33A038580
- Primes with first digit 6.at n=31A045712
- Numbers k such that replacing each nonzero digit d with the d-th prime (replacing each 0 digit with a 1) yields a square.at n=5A048383
- Primes prime(k) for which A049076(k) = 3.at n=22A049079
- Sum of digits of prime p is substring of p.at n=42A052019
- Numbers n such that (11^n + 1)/12 is a prime.at n=6A057177
- Primes p = prime(k) such that prime(k) + prime(k+5) = prime(k+1) + prime(k+4) = prime(k+2) + prime(k+3).at n=27A064101
- Numbers k such that k, 2*k+1, 3*k+2 are primes.at n=35A067256
- Primes > 100 in which every substring of length 2 is also prime.at n=36A069488
- Primes with either no internal digits or all internal digits are 1.at n=45A069676
- Prime(n) and prime(n+2) use the same digits.at n=11A069794
- Primes appearing as the concatenation of the last two digits of prime(A086102(n)) and the first two digits of prime(A086102(n)+1).at n=32A086103
- Primes whose reversal is a multiple of 19.at n=39A087766
- Primes of the form prime(nk) followed by prime(k).at n=1A089788
- Sum of primes <= p is even and sum is twice a prime.at n=29A089894
- Primes which when multiplied by their largest digit and 1 is subtracted form another prime.at n=40A090195
- Fundamental discriminants of real quadratic number fields with class number 5.at n=27A094614