5852
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 7588
- 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
- 2160
- Möbius Function
- 0
- Radical
- 2926
- Omega Function (Ω)
- 5
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 142
- 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
- Generalized class numbers c_(n,1).at n=41A000233
- a(n) = (3*n+1)*(3*n+2).at n=25A001504
- a(n) = 2*n*(2*n+1).at n=38A002943
- Number of polyhedral graphs with n faces and minimal degree 4.at n=13A007024
- Number of partitions of n into parts of sizes {a( )} is a(n).at n=48A007209
- a(0) = 1, a(n) = 26*n^2 + 2 for n>0.at n=15A010016
- Expansion of Product_{k>=1} (1 - x^k)^22.at n=24A010828
- a(n) = floor(n*(n-1)*(n-2)/30).at n=57A011912
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/30).at n=22A011940
- E.g.f.: sinh(sin(x)+log(x+1)).at n=7A012892
- Number of lines through exactly 6 points of an n X n grid of points.at n=43A018813
- a(n) = floor( Gamma(n+3/7)/Gamma(3/7) ).at n=8A020077
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=36A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=40A025413
- Number of partitions satisfying cn(0,5) + cn(2,5) < cn(1,5) + cn(4,5) and cn(0,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=32A039885
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=21A045013
- Bessel function J_0(n) is a monotonically decreasing positive sequence.at n=17A046960
- Bessel function |J_0(n)| is a monotonically decreasing positive sequence.at n=31A046962
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-1)/3.at n=26A048009
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-2)/3.at n=26A048020