12239
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12240
- 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
- 12238
- Möbius Function
- -1
- Radical
- 12239
- 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
- 63
- 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
- 1462
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=17A022464
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=34A025025
- a(0) = 2; a(n) is smallest prime containing a(n-1) as substring.at n=4A030456
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=27A035790
- Sequence of 2 Pythagorean triangles, each with a leg and hypotenuse prime. The leg of the second triangle is the hypotenuse of the first.at n=38A048270
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=17A050268
- Numbers k such that 195*2^k-1 is prime.at n=51A050849
- First of four consecutive primes that comprise two sets of twin primes.at n=42A053778
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2, 3) = binomial(j+2, 3) + k^3, ordered by increasing i; sequence gives j values.at n=39A054222
- Primes p with the following property: let d_1, d_2, ... be the distinct digits occurring in the decimal expansion of p. Then for each d_i, dropping all the digits d_i from p produces a prime number. Leading 0's are not allowed.at n=42A057876
- a(n) = smallest n-digit prime in A057876.at n=3A057877
- Primes with 4 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of its digits d.at n=1A057880
- Lesser of irregular twin primes.at n=37A060012
- Primes that are each the sum of two, three, and four consecutive composite numbers.at n=16A060339
- Primes with 13 as smallest positive primitive root.at n=30A061326
- Lowest primes in twin packs.at n=34A069457
- Cycle of the inventory sequence (as in A063850) starting with n consists of prime numbers.at n=43A078970
- Near twin primes of order 12: twin primes p,p+2 such that p+12 and p+14 are primes.at n=37A079292
- Smallest member of a pair of consecutive twin prime pairs that have no primes between them.at n=43A089628
- Expansion of x*(1+3*x+2*x^2)/((1+x+x^2)*(1-x-x^2)).at n=20A100886