12343
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12344
- 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
- 12342
- Möbius Function
- -1
- Radical
- 12343
- 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
- 262
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1474
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=26A001275
- Primes with consecutive digits that differ exactly by 1.at n=13A048398
- Smallest prime containing a leading sequence of n ascending numbers.at n=3A053546
- a(n) = floor( n^e ), e = 2.718281828...at n=31A061293
- Centered 22-gonal numbers.at n=33A069173
- Primes of the form floor(n^e).at n=6A074222
- Numbers k such that k, sigma(k) and phi(k) have the same decimal digits (ignoring multiplicity).at n=15A082059
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes.at n=36A100694
- Largest prime of the set of four consecutive primes whose sum of digits is a set of four distinct primes.at n=28A106818
- Rearrangement of primes (other than 2 and 5) so that the unit digit follows the pattern 1,3,7,9,1,3,7,9,... and every partial concatenation is prime.at n=33A110798
- Primes such that the sum of the predecessor and successor primes is divisible by 31.at n=37A113155
- Smallest prime of the form: n successive positive integers in ascending order followed by a 3. a(3k) = 0 as no such prime exists.at n=3A114755
- Primes p such that there exist three primes q, r and s with p^3=q^3+r^3+s^3.at n=19A114923
- Mother primes of order 8.at n=24A136067
- Primes congruent to 22 mod 37.at n=41A142131
- Primes congruent to 2 mod 41.at n=36A142199
- Primes congruent to 2 mod 43.at n=36A142251
- Primes congruent to 29 mod 47.at n=34A142380
- Primes congruent to 44 mod 49.at n=31A142451
- Primes congruent to 47 mod 53.at n=30A142577