5304
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 9816
- 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
- 1536
- Möbius Function
- 0
- Radical
- 1326
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 28
- 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
- Expansion of (1-4*x)^(3/2) in powers of x.at n=11A002421
- a(n) = 2*det(M(n; -1))/det(M(n; 0)), where M(n; m) is the n X n matrix with (i,j)-th element equal to 1/binomial(n + i + j + m, n).at n=6A007226
- Coordination sequence T1 for Zeolite Code MFS.at n=45A008173
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=52A011907
- a(n) = n*(7*n - 1)/2.at n=39A022264
- Duplicate of A007226.at n=6A024484
- a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3).at n=22A026040
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^3.at n=40A028611
- Theta series of 6-dimensional 11-modular even lattice of minimal norm 4.at n=40A029586
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black.at n=31A032279
- Records for sum of proper divisors function A001065.at n=48A034091
- Composites n such that A001414(n) is odd and divides n.at n=42A036346
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=42A043078
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=17A045946
- Column 4 of A052250.at n=9A052252
- Number of independent components for a Weyl tensor in n dimensions.at n=13A052472
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=21A060675
- Nearest integer to (Product(n^((1 + log(1 + i))/(1 + i^2)), {i, 1, n})).at n=41A062493
- Numbers having exactly eight anti-divisors.at n=40A066474
- Numbers k such that prime(k+2)-(k+2)*tau(k+2) = prime(k-2)-(k-2)*tau(k-2) where tau(k) = A000005(k) is the number of divisors of k.at n=16A067354