2214
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 2826
- 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
- 720
- Möbius Function
- 0
- Radical
- 246
- Omega Function (Ω)
- 5
- 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
- 138
- 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
- Euler transform of A000292.at n=7A000335
- Erroneous version of A174319.at n=5A002934
- Theta series of E_6 lattice.at n=6A004007
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=18A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=18A004965
- Theta series of {E_6}* lattice.at n=18A005129
- Coordination sequence T4 for Zeolite Code DOH.at n=29A008081
- Coordination sequence T2 for Zeolite Code FER.at n=29A008107
- Coordination sequence T4 for Zeolite Code GOO.at n=32A008114
- Coordination sequence T10 for Zeolite Code MFI.at n=30A008162
- Coordination sequence T5 for Zeolite Code MFI.at n=30A008168
- Expansion of (1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=53A008769
- Coordination sequence T2 for Zeolite Code -CLO.at n=41A009851
- Coordination sequence T3 for Zeolite Code iRON.at n=33A009883
- Coordination sequence T3 for Zeolite Code RUT.at n=31A009899
- Coordination sequence T4 for Zeolite Code RUT.at n=31A009900
- a(n) = floor( n*(n-1)*(n-2)/11 ).at n=30A011893
- Number of Barlow packings with group P3m1 that repeat after n layers.at n=10A011953
- a(n) = Sum_{k=0..n} ceiling(k^3/n).at n=19A014813
- a(n) is the least multiple of n, k*n say, such that phi(k) | sigma(k).at n=40A015756