563
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 564
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 562
- Möbius Function
- -1
- Radical
- 563
- Omega Function (Ω)
- 1
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 43
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 103
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- fünfhundertdreiundsechzig· ordinal: fünfhundertdreiundsechzigste
- English
- five hundred sixty-three· ordinal: five hundred sixty-third
- Spanish
- quinientos sesenta y tres· ordinal: 563º
- French
- cinq cent soixante-trois· ordinal: cinq cent soixante-troisième
- Italian
- cinquecentosessantatre· ordinal: 563º
- Latin
- quingenti sexaginta tres· ordinal: 563.
- Portuguese
- quinhentos e sessenta e três· ordinal: 563º
Appears in sequences
- Number of integers <= 2^n of form x^2 - 2y^2.at n=11A000047
- a(n) = number of compositions of n in which the maximum part size is 4.at n=12A000102
- Boustrophedon transform (second version) of Fibonacci numbers 1,1,2,3,...at n=6A000744
- Erroneous version of A040082.at n=7A001012
- Primes with primitive root 2.at n=43A001122
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=32A001914
- Prime determinants of forms with class number 2.at n=47A002052
- Primes of the form 4*k + 3.at n=53A002145
- Let p = A007645(n) be the n-th generalized cuban prime and write p^2 = x^2 + 3*y^2 with y > 0; a(n) = x.at n=52A002367
- Numerators of coefficients of expansion of arctan(x)^2 = x^2 - 2/3*x^4 + 23/45*x^6 - 44/105*x^8 + 563/1575*x^10 - 3254/10395*x^12 + ...at n=5A002428
- Numerators of coefficients of log(1+x)/sqrt(1+x).at n=4A002549
- Numbers that are the sum of 8 positive 4th powers.at n=53A003342
- Numbers that are the sum of 11 positive 5th powers.at n=25A003356
- Primes congruent to {3, 5, 6} mod 7.at n=52A003625
- Primes of the form 3n-1.at n=53A003627
- Primes p == +- 3 (mod 8), or, primes p such that 2 is not a square mod p.at n=54A003629
- Primes congruent to 2 or 3 modulo 5.at n=53A003631
- a(n) = n^2 + prime(n).at n=21A004232
- Divisible only by primes congruent to 3 mod 7.at n=35A004621
- a(n) = floor(n*phi^8), where phi is the golden ratio, A001622.at n=12A004923