6349
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7264
- Proper Divisor Sum (Aliquot Sum)
- 915
- 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
- 5436
- Möbius Function
- 1
- Radical
- 6349
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 80
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = a(n-1) + a(n-7), with a(i) = 1 for i = 0..6.at n=42A005709
- Expansion of 1/(1 - x^7 - x^8 - ...).at n=49A017901
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(7).at n=28A022771
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=48A024840
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=13A031818
- "BGJ" (reversible, element, labeled) transform of 1,2,3,4...at n=7A032054
- Numbers k such that 245*2^k+1 is prime.at n=22A032499
- Divide primes into groups with prime(n) elements and add together.at n=7A034958
- Numerators of continued fraction convergents to sqrt(762).at n=9A042468
- Number of ordered pairs of integers (x,y) with x^2+y^2 < n^2.at n=45A051132
- Third spoke of a hexagonal spiral.at n=46A056107
- Triangle T(n,k) is the number of restricted growth strings (RGS) of set partitions of {1..n} that have a decrease at index k (1<=k<n).at n=31A056862
- Centered 23-gonal numbers.at n=23A069174
- Row sums of triangle A084408.at n=18A084411
- a(n) = n-th centered n-gonal number.at n=23A100119
- Semiprimes in A056107.at n=11A113525
- Number of 1-overlap bipartite perfect graphs on n nodes.at n=7A123436
- a(n) = number of conjugacy classes in PSL_4(prime(n)).at n=9A124681
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1000-1100-0111-0010 pattern in any orientation.at n=15A147151
- Number of planar triangular n X n X n nonnegative integer grids with every similarly oriented 3 X 3 X 3 subtriangle summing to 6.at n=12A154056