2816
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 6132
- Proper Divisor Sum (Aliquot Sum)
- 3316
- 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
- 1280
- Möbius Function
- 0
- Radical
- 22
- Omega Function (Ω)
- 9
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 22
- 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)*2^(n-1).at n=9A001792
- a(n) = n*(n+3)*2^(n-3).at n=7A001793
- a(n) = 11*4^n.at n=4A002089
- Numbers k such that 3*2^k + 1 is prime.at n=20A002253
- Denominators of Taylor series expansion of arcsin(x). Also arises from arccos(x), arccsc(x), arcsec(x), arcsinh(x).at n=5A002595
- Numbers that are the sum of 11 positive 8th powers.at n=11A003389
- Numbers of the form 2^i * 11^j.at n=27A003596
- a(n) = 11*2^n.at n=8A005015
- a(n) = 4^n*(3*n)!/((n+1)!*(2*n+1)!).at n=4A006335
- Coordination sequence T2 for Zeolite Code AFT.at n=40A008027
- Triangle of coefficients of Chebyshev polynomials T_n(x).at n=39A008310
- Coordination sequence for 8-dimensional cubic lattice.at n=4A008416
- For any circular arrangement of 0..n-1, let S be the sum of cubes of every sum of two contiguous numbers; then a(n) is the number of distinct values of S.at n=11A008781
- Coordination sequence T5 for Zeolite Code RUT.at n=35A009901
- Coordination sequence for Ni2In, Position Ni2.at n=16A009942
- Expansion of e.g.f.: exp(tanh(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+64/5!*x^5...at n=7A013133
- Coordination sequence for C_8 lattice.at n=2A019564
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=3.at n=15A022308
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=25A025001
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=17A026060