12919
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12920
- 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
- 12918
- Möbius Function
- -1
- Radical
- 12919
- 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
- 76
- 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
- 1539
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 9x + 2.at n=29A023296
- Numerators of continued fraction convergents to sqrt(183).at n=6A041338
- Number of Catalan objects fixed by five-fold application of the Catalan bijections A057511/A057512 (deep rotation of general parenthesizations/plane trees).at n=13A079226
- Class 6- primes (for definition see A005109).at n=36A081425
- Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.at n=6A086003
- Primes which remain prime after one and after two and after three applications of the rotate-and-add operation of A086002.at n=1A086004
- Numbers m such that for increasing b the numbers of zeros in base b representation of m are monotonically decreasing, 1<b<m.at n=47A089969
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=37A094454
- Primes congruent to 6 mod 37.at n=39A142115
- Primes congruent to 4 mod 41.at n=38A142201
- Primes congruent to 19 mod 43.at n=40A142268
- Primes congruent to 41 mod 47.at n=36A142392
- Primes congruent to 32 mod 49.at n=38A142441
- Primes congruent to 40 mod 53.at n=32A142570
- Primes congruent to 49 mod 55.at n=37A142636
- Primes congruent to 57 mod 59.at n=27A142784
- Primes congruent to 48 mod 61.at n=25A142846
- Primes congruent to 4 mod 63.at n=41A142891
- Indices in A146326 where records occur.at n=45A146345
- Primes of the form : (p-n)/(n+1)=prime and (n+1)*p+n=prime. n=3.at n=40A152293