4104
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
- 32
- Divisor Sum
- 12000
- Proper Divisor Sum (Aliquot Sum)
- 7896
- 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
- 1296
- Möbius Function
- 0
- Radical
- 114
- 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
- 38
- 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 Product_{k>=1} (1 - x^k)^12.at n=13A000735
- Taxi-cab numbers: sums of 2 cubes in more than 1 way.at n=1A001235
- Squares written in base 5.at n=23A001740
- Squares written in base 8.at n=45A002441
- Numbers that are the sum of 9 positive 6th powers.at n=45A003365
- Numbers that are the sum of 12 positive 10th powers.at n=4A004812
- Numbers that are the sum of 10 positive 11th powers.at n=2A004821
- Numbers that are the sum of at most 10 positive 11th powers.at n=29A004916
- Numbers that are the sum of at most 11 positive 11th powers.at n=31A004917
- Numbers that are the sum of at most 12 positive 11th powers.at n=33A004918
- a(n) = n^2*(5*n-3)/2.at n=12A006597
- Number of irreducible positions of size n in Montreal solitaire.at n=8A007046
- Coordination sequence T2 for Zeolite Code BIK.at n=38A008048
- Coordination sequence T2 for Zeolite Code DAC.at n=40A008068
- exp(arctan(x)*arcsin(x))=1+2/2!*x^2+8/4!*x^4+158/6!*x^6+4104/8!*x^8...at n=4A012432
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=32A017836
- Numbers that are the sum of 2 cubes in more than 1 way (primitive solutions).at n=1A018850
- Coordination sequence T5 for Zeolite Code MWW.at n=42A024990
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^4.at n=32A028701
- Theta series of 6-dimensional lattice P6.4 = A6,2.at n=31A029690