863
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 864
- 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
- 862
- Möbius Function
- -1
- Radical
- 863
- 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
- 41
- 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
- 150
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- achthundertdreiundsechzig· ordinal: achthundertdreiundsechzigste
- English
- eight hundred sixty-three· ordinal: eight hundred sixty-third
- Spanish
- ochocientos sesenta y tres· ordinal: 863º
- French
- huit cent soixante-trois· ordinal: huit cent soixante-troisième
- Italian
- ottocentosessantatre· ordinal: 863º
- Latin
- octingenti sexaginta tres· ordinal: 863.
- Portuguese
- oitocentos e sessenta e três· ordinal: 863º
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=32A000057
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=9A000353
- Numbers that are not the sum of 4 tetrahedral numbers.at n=43A000797
- Length of one version of Kolakoski sequence {A000002(i)} at n-th growth stage.at n=17A001083
- Primes with 5 as smallest primitive root.at n=21A001124
- Number of graphical basis partitions of 2n.at n=18A001130
- Indices of prime Lucas numbers.at n=25A001606
- Full reptend primes: primes with primitive root 10.at n=52A001913
- Smallest number of complexity n: smallest number requiring n 1's to build using +, * and ^.at n=18A003037
- Numbers that are the sum of 9 positive 6th powers.at n=12A003365
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)).at n=24A003402
- Numbers that are a sum of distinct positive cubes in more than one way.at n=23A003998
- Class 1+ primes: primes of the form 2^i*3^j - 1 with i, j >= 0.at n=17A005105
- Class 4- primes (for definition see A005109).at n=19A005112
- Safe primes p: (p-1)/2 is also prime.at n=22A005385
- Number of distinct autocorrelations of binary words of length n.at n=37A005434
- Number of n-covers of an unlabeled 4-set.at n=4A005746
- Number of 5-covers of an unlabeled n-set.at n=4A005785
- Number of paraffins.at n=15A005999
- Long period primes: the decimal expansion of 1/p has period p-1.at n=53A006883