3546
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
- 12
- Divisor Sum
- 7722
- Proper Divisor Sum (Aliquot Sum)
- 4176
- 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
- 1176
- Möbius Function
- 0
- Radical
- 1182
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 56
- 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
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=41A008000
- Coordination sequence T2 for Zeolite Code AEI.at n=45A008002
- Coordination sequence T3 for Zeolite Code ATS.at n=43A008040
- Numbers n such that n is a substring of its square when both are written in base 2.at n=38A018826
- Numbers n such that n is a substring of its square (both n and n squared in base 4) (written in base 10).at n=18A018828
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=40A020381
- Number of matchings in Moebius ladder M_n.at n=5A020877
- Coordination sequence T7 for Zeolite Code MWW.at n=40A024992
- Molien series for complete weight enumerator of self-dual code over GF(5).at n=27A028344
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=24A031794
- Numbers whose set of base-14 digits is {1,4}.at n=19A032826
- Sequence arising in search for Legendre sequences.at n=13A039795
- Numbers k such that the string 7,7 occurs in the base 9 representation of k but not of k-1.at n=43A044321
- Open 3-dimensional ball numbers (version 2): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,0,0).at n=19A053594
- a(n) = T(n,n-4), array T as in A055807.at n=23A055809
- G.f.: 2*x*(2-2*x-3*x^2+2*x^3)/((1-3*x-x^2+x^3)*(1-x)).at n=7A061703
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 55 ).at n=33A063328
- a(n) is the number of pairs of integer quadruples (b_1, b_2, b_3, b_4) and (c_1, c_2, c_3, c_4) satisfying 1 <= b_1 < b_2 < b_3 < b_4 < n, 1 <= c_1 < c_2 < c_3 < c_4 < n, b_i != c_j for all i,j = 1,2,3,4 and Product_{i=1..4} sin(2*Pi*b_i/n) = Product_{i=1..4} sin(2*Pi*c_i/n).at n=34A063781
- Values of k for which A065358(k) is 0.at n=31A064940
- First differences of A075681.at n=45A075682