5288
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9930
- Proper Divisor Sum (Aliquot Sum)
- 4642
- 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
- 2640
- Möbius Function
- 0
- Radical
- 1322
- Omega Function (Ω)
- 4
- 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
- 116
- 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
- Coordination sequence for MgNi2, Position Mg1.at n=18A009936
- Numbers k such that Fib(k) == 21 (mod k).at n=35A023179
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^4.at n=15A028628
- 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 35.at n=27A031533
- Parker's partition triangle T(n,k) read by rows (n >= 1 and 0 <= k <= n-1).at n=58A047812
- a(n) = A048141(3*n+1).at n=54A051059
- Susceptibility series H_2 for 2-dimensional Ising model (divided by 2).at n=31A054275
- a(n) = (9*n^2 + 5*n + 2)/2.at n=34A064225
- Binomial transform of generalized tetranacci numbers A073817: a(n)=Sum((-1)^k Binomial(n,k)*A073817(k),(k=0,..,n)).at n=15A075128
- Sum of the first n twin prime pairs.at n=19A086169
- Indices of primes in sequence defined by A(0) = 51, A(n) = 10*A(n-1) + 61 for n > 0.at n=13A101584
- Main diagonal of A101866.at n=37A101867
- (a(2n)+a(2n+1))^2 = a(2n) + 10000*a(2n+1).at n=13A112140
- (a(2n+1)+a(2n))^2 = a(2n+1) a(2n) (concatenated, not multiplied).at n=23A112268
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n that have k valleys at level 1.at n=39A114489
- Indices of monotonically increasing primes which centrally enclose the prime sequence in A133781.at n=38A133782
- Transpose T(n,k) of Parker's partition triangle A047812 (n >= 1 and 0 <= k <= n-1).at n=62A136621
- Where record values occur in A138385.at n=14A138391
- Shifts 5 places left under Dirichlet convolution.at n=57A144369
- Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with every one adjacent to exactly 2 other ones.at n=16A153988