323
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 360
- Proper Divisor Sum (Aliquot Sum)
- 37
- 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
- 288
- Möbius Function
- 1
- Radical
- 323
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- yes
- 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
- 99
- 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
- no
- Odd
- yes
Names
- German
- dreihundertdreiundzwanzig· ordinal: dreihundertdreiundzwanzigste
- English
- three hundred twenty-three· ordinal: three hundred twenty-third
- Spanish
- trescientos veintitrés· ordinal: 323º
- French
- trois cent vingt-trois· ordinal: trois cent vingt-troisième
- Italian
- trecentoventitre· ordinal: 323º
- Latin
- trecenti viginti tres· ordinal: 323.
- Portuguese
- trezentos e vinte e três· ordinal: 323º
Appears in sequences
- Number of partitions into non-integral powers.at n=6A000339
- Number of bipartite partitions of n white objects and 4 black ones.at n=6A000465
- a(n) = 4*n^2 - 1.at n=9A000466
- a(2n) = n+2, a(2n-1) = smallest number requiring n+2 letters in English.at n=46A000916
- Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle.at n=8A001006
- A self-generating sequence: a(1)=1, a(2)=2, a(n+1) chosen so that a(n+1)-a(n-1) is the first number not obtainable as a(j)-a(i) for 1<=i<j<=n.at n=22A001149
- Smallest natural number requiring n letters in English.at n=23A001166
- a(n) is the solution to the postage stamp problem with n denominations and 3 stamps.at n=13A001213
- One-half the number of permutations of length n without rising or falling successions.at n=5A001266
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=13A001276
- a(n) = (4*n+1)*(4*n+3).at n=4A001539
- a(n) = a(n-1) + a(n-2) - 1 for n > 1, a(0)=3, a(1)=2.at n=12A001612
- Nearest integer to 2*n*log(n).at n=43A001618
- Number of letters in English name for n increases at these numbers.at n=16A001619
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=28A002038
- From a Goldbach conjecture: the location of records in A185091.at n=7A002091
- Palindromes in base 10.at n=41A002113
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=22A002382
- Inverse of reduced totient function.at n=54A002396
- Odd squarefree numbers with an even number of prime factors that have no prime factors greater than 31.at n=33A002557