566
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 852
- Proper Divisor Sum (Aliquot Sum)
- 286
- 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
- 282
- Möbius Function
- 1
- Radical
- 566
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 61
- 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
- yes
- Odd
- no
Names
- German
- fünfhundertsechsundsechzig· ordinal: fünfhundertsechsundsechzigste
- English
- five hundred sixty-six· ordinal: five hundred sixty-sixth
- Spanish
- quinientos sesenta y seis· ordinal: 566º
- French
- cinq cent soixante-six· ordinal: cinq cent soixante-sixième
- Italian
- cinquecentosessantasei· ordinal: 566º
- Latin
- quingenti sexaginta sex· ordinal: 566.
- Portuguese
- quinhentos e sessenta e seis· ordinal: 566º
Appears in sequences
- No-3-in-line problem: number of inequivalent ways of placing 2n points on an n X n grid so that no 3 are in a line.at n=11A000769
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=59A001463
- Numerators of convergents to cube root of 5.at n=6A002358
- a(n) = Sum_{d|n, d <= 4} d^2 + 4*Sum_{d|n, d>4} d.at n=65A002791
- Low temperature series for spin-1/2 Ising partition function on 2D square lattice.at n=8A002890
- Convolution of Fibonacci numbers 1,2,3,5,... with themselves.at n=8A004798
- Self-convolution of Lucas numbers.at n=7A004799
- Start with 4; if k appears then so do 2k+2 and 3k+3. (duplicates omitted.)at n=50A005662
- Numbers whose ternary expansion contains no 1's.at n=47A005823
- Theta series of P_{11a} packing.at n=2A005953
- Number of paraffins.at n=13A005999
- Number of n-celled polygons with perimeter 2n+2 on square lattice.at n=6A006725
- Oscillates under partition transform.at n=26A007210
- A grasshopper sequence: closed under n -> 2n+2 and 6n+6.at n=38A007319
- Coordination sequence T3 for Zeolite Code AFR.at n=18A008021
- Coordination sequence T4 for Zeolite Code AFR.at n=18A008022
- Coordination sequence T2 for Zeolite Code AWW.at n=17A008046
- Coordination sequence T8 for Zeolite Code MFI.at n=15A008171
- Coordination sequence T8 for Zeolite Code MFS.at n=15A008180
- Expansion of 1/((1-x)*(1-x^3)*(1-x^5)*(1-x^7)).at n=63A008673