5004
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 12740
- Proper Divisor Sum (Aliquot Sum)
- 7736
- 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
- 1656
- Möbius Function
- 0
- Radical
- 834
- 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
- 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/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=45A001307
- MacMahon's generalized sum of divisors function.at n=32A002127
- Euler characteristics of polytopes.at n=15A006482
- Some permutation of digits is a factorial number.at n=43A007926
- Some nontrivial permutation of digits is a factorial number.at n=37A007927
- Coordination sequence T2 for Zeolite Code LOV.at n=47A008135
- n written in fractional base 10/5.at n=44A024660
- a(n) = T(2n-1,n), where T is the array in A026098.at n=33A026102
- a(n) = 3*n^2 - 7*n + 6.at n=42A027599
- One less than number of n-multisets chosen from a 10-set.at n=6A035927
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= (n-2)/2.at n=14A047182
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= (n+3)/3.at n=14A048082
- T(n,k)=S(2n+1,n-1,k-1), 0<=k<=n, n >= 0, array S as in A050157.at n=34A050161
- T(n,k)=S(2n+3,n+3,k+3), 0<=k<=n, n >= 0, array S as in A050157.at n=26A050164
- Coordination sequence T2 for Zeolite Code MTF.at n=42A057305
- McKay-Thompson series of class 16A for Monster.at n=14A058514
- Number of n-dimensional torsion-free crystallographic groups with trivial center.at n=5A059105
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to six complementary pairs of ratios which generate simple musical tones (scale steps): 8/7 and 7/4, 6/5 and 5/3, 16/13 and 13/8, 5/4 and 8/5, 4/3 and 3/2 and 11/8 and 16/11.at n=41A060233
- 1 + Sum_{n>=1} a_n x^n = 1/Product_{n>=1} (1+x^n)^prime(n).at n=28A061151
- Pair the natural numbers such that the n-th pair is (k, k+p(n)) where k is the smallest number not occurring earlier and p(n) is the n-th prime. (1, 3), (2, 5), (4, 9), (6, 13), (7, 18), (8, 21), (10, 27), (11, 30), (12, 35), (14, 43), ... This is the sequence of the product of the members of every pair.at n=26A075316