6329
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6330
- 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
- 6328
- Möbius Function
- -1
- Radical
- 6329
- 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
- 155
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 824
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From a Goldbach conjecture: records in A185091.at n=38A002092
- Number of edge-labeled series-reduced trees with n nodes.at n=7A007831
- Expansion of x/(1 - 8*x - 11*x^2).at n=5A015578
- Numbers k such that the continued fraction for sqrt(k) has period 71.at n=2A020410
- a(n) = floor(C(4n,2n)/C(4n,n)).at n=17A024501
- Primes of the form k^2 + k + 9.at n=11A027758
- Lists of 4 primes in arithmetic progression; common difference 6.at n=23A033449
- a(n) is the smallest prime such that a(1), ..., a(n-1) are squares mod a(n).at n=8A034698
- a(n) is square mod a(i), i < n.at n=15A034791
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(0,5) + cn(1,5) and cn(2,5) + cn(3,5) <= cn(0,5) + cn(4,5).at n=36A039865
- Number of partitions satisfying cn(0,5) + cn(1,5) + cn(4,5) <= cn(2,5) + cn(3,5).at n=35A039878
- Last member of a sexy prime quadruple: value of p+18 such that p, p+6, p+12 and p+18 are all prime.at n=21A046124
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=28A053020
- Fourth term of balanced prime quartets: p(m-2)-p(m-3) = p(m-1)-p(m-2) = p(m)-p(m-1).at n=5A054803
- Primes of the form k(k+1)/2+1 (i.e., central polygonal numbers, or one more than triangular numbers).at n=34A055469
- Distinct (non-overlapping) twin Harshad numbers whose sum is prime.at n=30A060288
- Primes which are sums of twin Harshad numbers (includes overlaps).at n=35A060290
- a(n) = (9n^2 + 9n + 4)/2.at n=37A062123
- Primes p such that p^6 + p^3 + 1 is prime.at n=33A066100
- Number of fixed directed convex polyominoes with n cells.at n=10A067676