4178
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6270
- Proper Divisor Sum (Aliquot Sum)
- 2092
- 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
- 2088
- Möbius Function
- 1
- Radical
- 4178
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 64
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Numerators of approximations to e.at n=21A006258
- a(n) = Fibonacci(n) - 3. Number of total preorders.at n=15A006327
- Coordination sequence T2 for Zeolite Code GOO.at n=44A008112
- Coordination sequence T11 for Zeolite Code MFI.at n=41A008163
- Coordination sequence T12 for Zeolite Code MFI.at n=41A008164
- Coordination sequence T2 for Milarite.at n=40A008257
- Coordination sequence T5 for Zeolite Code VET.at n=40A009906
- a(0) = 1, a(n) = 29*n^2 + 2 for n>0.at n=12A010019
- Expansion of 1/((1-5*x)*(1-7*x)*(1-10*x)).at n=3A019958
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = A014306.at n=35A025087
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=36A025200
- 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 64.at n=6A031562
- Dirichlet convolution of Fibonacci numbers with Bell numbers.at n=8A034750
- Positive numbers having the same set of digits in base 3 and base 8.at n=37A037420
- Positive numbers having the same set of digits in base 4 and base 8.at n=46A037426
- Numbers whose base-4 representation contains exactly three 0's and three 1's.at n=20A045031
- Sum of the first n palindromes (A002113).at n=36A046489
- McKay-Thompson series of class 41A for Monster.at n=41A058670
- Expansion of series related to Liouville's Last Theorem: g.f. sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^4 *product_{i=1..t} (1-x^i) ).at n=17A059821
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).at n=26A063373