822
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
- 8
- Divisor Sum
- 1656
- Proper Divisor Sum (Aliquot Sum)
- 834
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 272
- Möbius Function
- -1
- Radical
- 822
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 134
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- achthundertzweiundzwanzig· ordinal: achthundertzweiundzwanzigste
- English
- eight hundred twenty-two· ordinal: eight hundred twenty-second
- Spanish
- ochocientos veintidós· ordinal: 822º
- French
- huit cent vingt-deux· ordinal: huit cent vingt-deuxième
- Italian
- ottocentoventidue· ordinal: 822º
- Latin
- octingenti viginti duo· ordinal: 822.
- Portuguese
- oitocentos e vinte e dois· ordinal: 822º
Appears in sequences
- Numbers beginning with letter 'e' in English.at n=35A000873
- Number of n X n symmetric matrices with nonnegative integer entries, trace 0 and all row sums 2.at n=7A002137
- Numbers k such that the Woodall number k*2^k - 1 is prime.at n=14A002234
- Number of integral points in a certain sequence of closed quadrilaterals.at n=42A002579
- Numbers k such that 2*3^k + 1 is prime.at n=19A003306
- Number of labeled interval graphs with n nodes.at n=4A005215
- Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.at n=24A005282
- Number of unlabeled planar simple graphs with n nodes.at n=7A005470
- Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).at n=45A007621
- Coordination sequence T3 for Zeolite Code AFS and BPH.at n=22A008025
- Coordination sequence T1 for Zeolite Code FAU.at n=24A008105
- Coordination sequence T3 for Zeolite Code LTN.at n=20A008142
- Coordination sequence T4 for Zeolite Code MTW.at n=19A008199
- Coordination sequence T4 for Zeolite Code RUT.at n=19A009900
- Average of twin prime pairs.at n=31A014574
- Numbers k such that phi(k + 12) | sigma(k).at n=53A015832
- Divisors of 822.at n=7A018665
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite WEI = Weinebeneite Ca4[Be12P8O32(OH)8].16H2O starting from a T1 atom.at n=10A019262
- (n-2)-th Catalan number is congruent to 2n/3 mod n.at n=31A019468
- Coordination sequence for G_2 lattice.at n=46A019557