7696
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 16492
- Proper Divisor Sum (Aliquot Sum)
- 8796
- 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
- 3456
- Möbius Function
- 0
- Radical
- 962
- Omega Function (Ω)
- 6
- 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
- 52
- 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 paraffins.at n=30A005997
- Coordination sequence for MgZn2, Mg position.at n=22A009939
- a(n) = n*(15*n + 1)/2.at n=32A022273
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 11.at n=15A022316
- Least k>1 such that reverse of first n terms of A006928 repeats beginning at k-th term.at n=43A025509
- Number of walks of length n on the square lattice that start from (0,0) and do not touch the half-line {x=y, x <= 0} once they have left their starting point.at n=7A053792
- a(n) = n*(2*n^2 - 2*n + 1).at n=16A059722
- Composite n such that the sums of the composite numbers up to n, +/- 1, are twin primes.at n=40A065022
- a(n)=Sum((-1)^(i+Floor(n/2))S(2i+e),(i=0,..,Floor(n/2))), where S(n) are generalized Tetranacci numbers (A073817) and e=(1/2)(1-(-1)^n).at n=14A075112
- (prime(prime(n))^4-1)/120.at n=2A092775
- Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n.at n=21A099834
- Triangle read by rows: T(n,k) is the number of binary trees (each vertex has 0, or 1 left, or 1 right, or 2 children) with k edges and all leaves at level n.at n=42A106375
- Expansion of 1/(1 - 6*x + 10*x^2).at n=8A106392
- a(n) = (1/2)*(1 + 3*i)^n + (1/2)*(1 - 3*i)^n where i = sqrt(-1).at n=8A120743
- a(n) = dimension of the space in which the sphere of radius n is of maximum volume.at n=34A121546
- a(n) = ceiling(n/2)*ceiling(n^2/2).at n=31A131474
- Binomial transform of A004524 starting at 1.at n=11A132402
- a(n) = (n-1)*(n+4)*(n+6)/6 for n > 1, a(1)=1.at n=32A137742
- Triangle read by rows: row n gives coefficients of expansion of q-tangent number T_{2n+1}(q) in powers of q.at n=55A143194
- Triangle read by rows: row n gives coefficients of expansion of q-tangent number T_{2n+1}(q) in powers of q.at n=40A143194