14243
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14244
- 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
- 14242
- Möbius Function
- -1
- Radical
- 14243
- 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
- 151
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1673
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 4).at n=49A035543
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=20A067860
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=19A088291
- Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.at n=17A089779
- Upper prime of a difference of 22 between consecutive primes.at n=26A098976
- Primes from merging of 5 successive digits in decimal expansion of the Champernowne Constant.at n=11A104948
- Primes p such that little googol - p is prime.at n=31A108256
- a(n) = (1/3)*n^3 - n^2 - (1/3)*n - 1.at n=36A109620
- Primes for which the weight as defined in A117078 is 23.at n=30A119504
- Real part of the smallest Gaussian prime having a gap size of exactly A128106(n).at n=16A128107
- Smallest positive real Gaussian prime having a gap size of exactly A128106(n).at n=15A128109
- Primes congruent to 16 mod 41.at n=38A142213
- Primes congruent to 10 mod 43.at n=37A142259
- Primes congruent to 2 mod 47.at n=33A142355
- Primes congruent to 33 mod 49.at n=39A142442
- Primes congruent to 39 mod 53.at n=34A142569
- Primes congruent to 24 mod 59.at n=25A142751
- Primes congruent to 30 mod 61.at n=26A142828
- Primes of the form 2*p+1 where p is prime and p+1 is squarefree.at n=35A153209
- Primes of the form 4x^3 + 27y^2, with x>0.at n=37A153636