984
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2520
- Proper Divisor Sum (Aliquot Sum)
- 1536
- 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
- 320
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 49
- Smith 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
Names
- German
- neunhundertvierundachtzig· ordinal: neunhundertvierundachtzigste
- English
- nine hundred eighty-four· ordinal: nine hundred eighty-fourth
- Spanish
- novecientos ochenta y cuatro· ordinal: 984º
- French
- neuf cent quatre-vingt-quatre· ordinal: neuf cent quatre-vingt-quatrième
- Italian
- novecentoottantaquattro· ordinal: 984º
- Latin
- nongenti octoginta quattuor· ordinal: 984.
- Portuguese
- novecentos e oitenta e quatro· ordinal: 984º
Appears in sequences
- Number of partitions into non-integral powers.at n=17A000148
- Number of n-step self-avoiding walks on cubic lattice ending at point with x=3.at n=3A000762
- E.g.f.: 24*exp(x)/(1-x)^5.at n=2A001342
- a(n) = Sum_{k=0..2} (n+k)! * C(2,k).at n=5A001344
- Number of integral points in a certain sequence of open quadrilaterals.at n=49A002578
- Cluster series for bond percolation problem on honeycomb.at n=10A003199
- Low-temperature series for spin-1/2 Ising ferromagnetic susceptibility on diamond.at n=6A003220
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=8A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=8A004965
- Number of weighted voting procedures.at n=10A005257
- Number of polynomials of height n: a(1)=1, a(2)=1, a(3)=4, a(n) = 2*a(n-1) + a(n-2) + 2 for n >= 4.at n=8A005409
- a(n) = cost of minimal multiplication-cost addition chain for n.at n=53A005766
- Numbers k such that k^16 + 1 is prime.at n=48A006313
- a(n) = Fibonacci(n) - 3. Number of total preorders.at n=12A006327
- Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group.at n=9A007991
- Coordination sequence T2 for Zeolite Code AFY.at n=26A008030
- Coordination sequence T2 for Zeolite Code ATV.at n=20A008044
- Coordination sequence T1 for Moganite.at n=20A008258
- Multiples of 24.at n=41A008606
- Molien series for A_10.at n=23A008633