243
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 364
- Proper Divisor Sum (Aliquot Sum)
- 121
- 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
- 162
- Möbius Function
- 0
- Radical
- 3
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 1
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
- 96
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- zweihundertdreiundvierzig· ordinal: zweihundertdreiundvierzigste
- English
- two hundred forty-three· ordinal: two hundred forty-third
- Spanish
- doscientos cuarenta y tres· ordinal: 243º
- French
- deux cent quarante-trois· ordinal: deux cent quarante-troisième
- Italian
- duecentoquarantatre· ordinal: 243º
- Latin
- ducenti quadraginta tres· ordinal: 243.
- Portuguese
- duzentos e quarenta e três· ordinal: 243º
Appears in sequences
- a(n) = floor(n^(3/2)).at n=39A000093
- Largest order of automorphism group of a tournament with n nodes.at n=12A000198
- Largest order of automorphism group of a tournament with n nodes.at n=11A000198
- a(n) = floor(n^2/3).at n=27A000212
- Powers of 3: a(n) = 3^n.at n=5A000244
- Fifth powers: a(n) = n^5.at n=3A000584
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=17A000603
- Number of partitions of n in which no parts are multiples of 3.at n=21A000726
- Expansion of bracket function.at n=9A000748
- Boustrophedon transform of Catalan numbers.at n=5A000753
- a(n) = max{(n - i)*a(i) : i < n}; a(0) = 1.at n=15A000792
- Number of ordered rooted trees with n edges having root of odd degree.at n=6A000958
- Union of all numbers {p, q} where p and q are both primes or powers of primes and q = p+2.at n=49A001092
- Double-bitters: only even length runs in binary expansion.at n=13A001196
- Numbers that are the sum of 4 cubes in more than 1 way.at n=7A001245
- Number of ways of making change for n cents using coins of 1, 2, 4, 12, 24, 48, 96, 120 cents (based on English coinage of 1939).at n=41A001364
- Number of ways of making change for n cents using coins of 1, 2, 4, 12, 24, 48, 96, 120 cents (based on English coinage of 1939).at n=40A001364
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=20A001365
- a(n) is the number of partitions of n into at most 3 parts; also partitions of n+3 in which the greatest part is 3; also number of unlabeled multigraphs with 3 nodes and n edges.at n=51A001399
- Perfect powers: m^k where m > 0 and k >= 2.at n=21A001597