12107
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
- 12108
- 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
- 12106
- Möbius Function
- -1
- Radical
- 12107
- 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
- 68
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1449
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 2 iterations of function f(x) = 8x + 1.at n=30A023260
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=32A023282
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=35A046018
- Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime.at n=25A046122
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=27A052163
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=26A054823
- a(n) is the least index such that the least primitive root of the a(n)-th prime is n, or zero if no such prime exists.at n=51A066529
- Partial sums of A066425.at n=11A068055
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 6*p+1 is also prime.at n=37A075705
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 8*p+1 (A023228) is also prime.at n=32A075706
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern.at n=22A078847
- Primes of the form k^2 + 7.at n=28A079138
- a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=51A089577
- a(n) = lesser of a pair of twin primes p, q=p+2 such that product of first n primes plus p is a prime and also product of first n primes plus q is a prime.at n=28A090795
- Lower bound twin primes such that their digital reverse is prime and a lower bound twin prime.at n=24A101783
- Largest of five consecutive primes the sum of the digits of each of which is prime.at n=28A106717
- Largest prime of the set of four consecutive primes whose sum of digits is a set of four distinct primes.at n=26A106818
- Primes p such that p + 2 and p^2 + 2^2 are primes.at n=25A107312
- Prime Friedman numbers.at n=4A112419
- Lesser of a twin-prime pair where both are expressible as the sum of two triangular numbers.at n=24A118638