6343
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6344
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6342
- Möbius Function
- -1
- Radical
- 6343
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- 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
- 826
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = T(2n+1,n+4), T given by A026736.at n=5A026857
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 79.at n=12A031577
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=18A031812
- Denominators of continued fraction convergents to sqrt(135).at n=14A041247
- Denominators of continued fraction convergents to sqrt(846).at n=14A042633
- Numbers whose base-5 representation contains exactly two 0's and three 3's.at n=16A045198
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 4.at n=14A049896
- Triangle read by rows: monoids of order n with k idempotents.at n=24A058137
- Primes p that have exactly two primitive roots that are not primitive roots mod p^2.at n=28A060518
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 18 (most significant digit on right).at n=3A061971
- Numbers k such that the smoothly undulating palindromic number (14*10^k - 41)/99 is a prime.at n=5A062210
- Number of partitions of n with zero crank.at n=47A064410
- Primes in which odd positioned digits are prime and even positioned digits are composite. The least significant digit is taken to be the first digit.at n=38A083820
- Primes p such that (pp'-1)/2 is prime, where p' denotes the next prime after p.at n=45A093706
- Number of quasi-triominoes in an n X n bounding box.at n=14A094170
- Balanced primes of order five.at n=19A096697
- Indices of primes in sequence defined by A(0) = 17, A(n) = 10*A(n-1) - 63 for n > 0.at n=16A102007
- Largest prime which can be formed from digits of n^2, or 0, if no prime.at n=57A102600
- Primes p such that 1*p + 16 and 16*p + 1 are primes.at n=44A106064
- Difference between the n-th partial sum of the squares (A000330) and the n-th partial sum of the primes (A007504).at n=27A108753