284
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 504
- Proper Divisor Sum (Aliquot Sum)
- 220
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 140
- Möbius Function
- 0
- Radical
- 142
- Omega Function (Ω)
- 3
- 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
- 104
- 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
- zweihundertvierundachtzig· ordinal: zweihundertvierundachtzigste
- English
- two hundred eighty-four· ordinal: two hundred eighty-fourth
- Spanish
- doscientos ochenta y cuatro· ordinal: 284º
- French
- deux cent quatre-vingt-quatre· ordinal: deux cent quatre-vingt-quatrième
- Italian
- duecentoottantaquattro· ordinal: 284º
- Latin
- ducenti octoginta quattuor· ordinal: 284.
- Portuguese
- duzentos e oitenta e quatro· ordinal: 284º
Appears in sequences
- Number of integers <= 2^n of form 4 x^2 + 4 x y + 5 y^2.at n=11A000076
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=18A000123
- Number of centered trees with n nodes.at n=12A000676
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=43A001313
- Number of n-step self-avoiding walks on square lattice.at n=5A001411
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=38A001463
- Winning moves in Fibonacci nim.at n=50A001581
- Fibonacci entry points: a(n) = smallest m > 0 such that the n-th prime divides Fibonacci(m).at n=60A001602
- Primes multiplied by 4.at n=19A001749
- v-pile positions of the 4-Wythoff game with i=1.at n=54A001964
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=16A001994
- Larger of amicable pair.at n=0A002046
- a(n) = least value of m for which Liouville's function A002819(m) = -n.at n=18A002053
- Number of partitions of n into nonprime parts.at n=31A002095
- a(n) = Sum_{d|n, d <= 3} d^2 + 3*Sum_{d|n, d>3} d.at n=41A002660
- a(n) = Sum_{d|n, d <= 3} d^2 + 3*Sum_{d|n, d>3} d.at n=61A002660
- Number of bipartite partitions.at n=6A002767
- Solid partitions of n, distinct along rows.at n=7A002936
- Numbers k such that 4*k^2 + 9 is prime.at n=52A002970
- Number of bifix-free (or primary, or unbordered) words of length n over a two-letter alphabet.at n=10A003000