1584
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 4836
- Proper Divisor Sum (Aliquot Sum)
- 3252
- 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
- 480
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 7
- 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
- 29
- 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
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=32A000082
- Number of rooted bicubic maps: a(n) = (8*n-4)*a(n-1)/(n+2) for n >= 2, a(0) = a(1) = 1.at n=6A000257
- Number of strongly asymmetric sequences of length n.at n=6A002842
- Symmetries in unrooted (1,4) trees on 3n-1 vertices.at n=4A003614
- a(n) = floor(1000*log_2(n)).at n=2A004265
- Number of words of length n in a certain language.at n=23A005819
- Related to representations as sums of Fibonacci numbers.at n=38A006133
- Expansion of (1+x^2) / ( (1-x)^2 * (1-x^3)^2 ).at n=32A006501
- a(n) = Sum_{k=1..n-1} k XOR n-k.at n=46A006582
- 5th-order maximal independent sets in cycle graph.at n=41A007388
- Jordan function J_2(n) (a generalization of phi(n)).at n=45A007434
- Coordination sequence T5 for Zeolite Code DDR.at n=25A008075
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4).at n=47A008218
- Number of 3 X 3 symmetric stochastic matrices under row and column permutations.at n=45A008764
- Expansion of (1+x^10)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=48A008771
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/5).at n=11A011915
- Number of Hamiltonian paths in a 5 X n grid starting in the lower left corner and ending in the lower right.at n=7A014585
- a(n) = (2*n - 13)*n^2.at n=12A015246
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10).at n=37A017841
- Powers of fifth root of 10 rounded down.at n=16A018141