543
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 728
- Proper Divisor Sum (Aliquot Sum)
- 185
- 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
- 360
- Möbius Function
- 1
- Radical
- 543
- Omega Function (Ω)
- 2
- 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
- 136
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Names
- German
- fünfhundertdreiundvierzig· ordinal: fünfhundertdreiundvierzigste
- English
- five hundred forty-three· ordinal: five hundred forty-third
- Spanish
- quinientos cuarenta y tres· ordinal: 543º
- French
- cinq cent quarante-trois· ordinal: cinq cent quarante-troisième
- Italian
- cinquecentoquarantatre· ordinal: 543º
- Latin
- quingenti quadraginta tres· ordinal: 543.
- Portuguese
- quinhentos e quarenta e três· ordinal: 543º
Appears in sequences
- a(0)=1, a(n) = 3*a(n-1) + n + 1.at n=5A000340
- a(n) = 3 * prime(n).at n=41A001748
- Number of restricted hexagonal polyominoes with n cells.at n=6A002212
- Number of polyhexes with n hexagons, having reflectional symmetry (see Harary and Read for precise definition).at n=11A002215
- Number of acyclic digraphs (or DAGs) with n labeled nodes.at n=4A003024
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=39A003113
- a(n) = n^4 + (9/2)*n^3 + n^2 - (9/2)*n + 1.at n=4A003878
- a(n) = floor(n*phi^5), where phi is the golden ratio, A001622.at n=49A004920
- Number of fractions in Farey series of order n.at n=42A005728
- Let P(n) of a sequence s(1),s(2),s(3),... be obtained by leaving s(1),...,s(n) fixed and reversing every n consecutive terms thereafter; apply P(2) to 1,2,3,... to get PS(2), then apply P(3) to PS(2) to get PS(3), then apply P(4) to PS(3), etc. This sequence is the limit of PS(n).at n=47A007062
- Add 2, then reverse digits!.at n=42A007396
- Tower of Hanoi with 5 pegs.at n=40A007665
- a(n) is the largest odd number k such that 9, 11, ..., k are sums of 3 of first n odd primes.at n=40A007962
- Coordination sequence T1 for Zeolite Code MEL.at n=15A008150
- Coordination sequence T3 for Zeolite Code PAU.at n=17A008221
- Expansion of (1+x^6)/((1-x)^2*(1-x^6)).at n=56A008813
- Triangle read by rows: T(n,k) is the number of permutations of [n] with k increasing runs of length at least 2.at n=17A008971
- Coordination sequence T2 for Keatite.at n=13A009845
- Coefficients in expansion of Euler's constant gamma as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=25A009929
- Coefficients in expansion of e as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=22A011189