1984
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 4064
- Proper Divisor Sum (Aliquot Sum)
- 2080
- 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
- 960
- Möbius Function
- 0
- Radical
- 62
- Omega Function (Ω)
- 7
- 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
- 112
- 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
- 2nd differences are periodic.at n=32A002082
- Absolute value of Glaisher's beta'(2n+1).at n=46A002291
- Convolution of A002024 with itself.at n=49A004797
- Coordination sequence T1 for Zeolite Code KFI.at n=34A008123
- Expansion of e.g.f.: sinh(tanh(x))*exp(x).at n=8A009615
- Expansion of sinh(x)*exp(tanh(x)).at n=8A009625
- Coordination sequence T2 for Zeolite Code VET.at n=27A009903
- a(n) = floor(n*(n-1)*(n-2)/15).at n=32A011897
- Theta series of lattice Kappa_7.at n=11A015236
- Theta series of D_32 lattice.at n=1A022063
- Theta series of D*_32 lattice.at n=2A022085
- n-th 8k+3 prime plus n-th 8k+5 prime.at n=43A022763
- Discriminants of quartic fields with 2 complex conjugates (negated).at n=49A023681
- Discriminants of quartic fields with 2 complex conjugates (negated).at n=48A023681
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 2), t = (Fibonacci numbers).at n=12A024309
- Numbers that are the sum of 4 nonzero squares in exactly 6 ways.at n=39A025362
- a(n) = n^2 + n + 4.at n=44A027689
- Weight distribution of (64,4096,28) Kerdock code.at n=9A028238
- Weight distribution of (64,4096,28) Kerdock code.at n=7A028238
- Expansion of A007245^8.at n=1A028516