8328
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20880
- Proper Divisor Sum (Aliquot Sum)
- 12552
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2768
- Möbius Function
- 0
- Radical
- 2082
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 127
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=33A006416
- Fibonacci sequence beginning 5, 19.at n=14A022143
- Dirichlet convolution of d(n) (# of divisors) with b_n=2^(n-1).at n=13A034771
- Numbers whose base-4 representation contains exactly four 0's and no 1's.at n=36A045033
- Numbers whose base-4 representation contains exactly four 0's and three 2's.at n=4A045060
- An approximation to sigma_{5/2}(n): floor( sum_{d|n} d^(5/2) ).at n=36A058272
- An approximation to sigma_{5/2}(n): round( sum_{d|n} d^(5/2) ).at n=36A058273
- Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=13A063058
- Numbers k such that k^2 + prime(k) and k^2 - prime(k) are both primes.at n=43A064483
- Floor (e^(n / log(n))).at n=29A096181
- McKay-Thompson series of class 8B for the Monster group.at n=7A112142
- Sequence determining the parity of A025748.at n=37A127988
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (-1, 1, -1), (1, -1, 1), (1, 1, 0)}.at n=8A149205
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (0, 1), (1, -1), (1, 0)}.at n=11A151397
- Similar to A072921 but starting with 3.at n=36A152232
- Numbers k such that tau(lambda(k)) = lambda(tau(k)).at n=39A173941
- Column sums of an infinite Kostka matrix.at n=94A182395
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -1<=w+2x+3y<=1.at n=46A211623
- Expansion of q^(-1) * (phi(q^2) * phi(-q) / psi(-q^2)^2)^2 in powers of q where phi(), psi() are Ramanujan theta functions.at n=14A233458
- Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=2A235252