322
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 576
- Proper Divisor Sum (Aliquot Sum)
- 254
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 132
- Möbius Function
- -1
- Radical
- 322
- 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
- yes
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 99
- 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
- dreihundertzweiundzwanzig· ordinal: dreihundertzweiundzwanzigste
- English
- three hundred twenty-two· ordinal: three hundred twenty-second
- Spanish
- trescientos veintidós· ordinal: 322º
- French
- trois cent vingt-deux· ordinal: trois cent vingt-deuxième
- Italian
- trecentoventidue· ordinal: 322º
- Latin
- trecenti viginti duo· ordinal: 322.
- Portuguese
- trezentos e vinte e dois· ordinal: 322º
Appears in sequences
- a(n) = floor(n^(3/2)).at n=47A000093
- Number of trees of diameter 5.at n=13A000147
- Lucas numbers (beginning with 1): L(n) = L(n-1) + L(n-2) with L(1) = 1, L(2) = 3.at n=11A000204
- An approximation to population of x^2 + y^2 <= 2^n.at n=10A000692
- Expansion of Product_{n>=1} (1 - x^n)^7.at n=28A000730
- Stirling numbers of the first kind: s(n+2, n).at n=6A000914
- The convergent sequence B_n for the ternary continued fraction (3,1;2,2) of period 2.at n=8A000963
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=20A001182
- If F(n) is the n-th Fibonacci number, then a(2n) = (F(2n+1) + F(n+2))/2 and a(2n+1) = (F(2n+2) + F(n+1))/2.at n=13A001224
- Unsigned Stirling numbers of first kind s(n,6).at n=2A001233
- a(n) = Lucas(5*n+2).at n=2A001947
- Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=13A001976
- a(n+1) = a(n)*(a(n)^2 - 3) with a(0) = 7.at n=1A002000
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=27A002038
- a(n) = Sum_{k=0..n} f(k)*f(n-k) where f(k) = A002124(k).at n=22A002125
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=47A002155
- Numbers k such that 45*2^k - 1 is prime.at n=27A002242
- Smallest number of stones in Tchoukaillon (or Mancala, or Kalahari) solitaire that make use of n-th hole.at n=30A002491
- a(n) = n + Sum_{k=1..n} pi(k), where pi() = A000720.at n=39A002815
- a(n) = nearest integer to n^(3/2).at n=47A002821