423
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 624
- Proper Divisor Sum (Aliquot Sum)
- 201
- 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
- 276
- Möbius Function
- 0
- Radical
- 141
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 32
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- vierhundertdreiundzwanzig· ordinal: vierhundertdreiundzwanzigste
- English
- four hundred twenty-three· ordinal: four hundred twenty-third
- Spanish
- cuatrocientos veintitrés· ordinal: 423º
- French
- quatre cent vingt-trois· ordinal: quatre cent vingt-troisième
- Italian
- quattrocentoventitre· ordinal: 423º
- Latin
- quadringenti viginti tres· ordinal: 423.
- Portuguese
- quatrocentos e vinte e três· ordinal: 423º
Appears in sequences
- Numbers beginning with letter 'f' in English.at n=47A000867
- Number of twin prime pairs < square of n-th prime.at n=37A000885
- Moran numbers: k such that k/(sum of digits of k) is prime.at n=33A001101
- Tribonacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) with a(0)=0, a(1)=1, a(2)=0.at n=13A001590
- a(n) = 2*(3^n - 2^n) + 1.at n=5A002783
- a(n) = n + Sum_{k=1..n} pi(k), where pi() = A000720.at n=46A002815
- a(n) = n^2 written backwards.at n=17A002942
- Numbers that are the sum of 8 positive 4th powers.at n=41A003342
- Smallest positive integer that is n times its digit sum, or 0 if no such number exists.at n=46A003634
- Generalized Catalan numbers: a(n+1) = a(n) + Sum_{k=1..n-1} a(k)*a(n-1-k).at n=10A004148
- Primes written in base 5.at n=29A004679
- a(n) = 8*n + 7. Or, numbers whose binary expansion ends in 111.at n=52A004771
- a(n) = round(n*phi^8), where phi is the golden ratio, A001622.at n=9A004943
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=9A004963
- (5,4)-graphs.at n=4A005273
- Start with 4; if k appears then so do 2k+2 and 3k+3. (duplicates omitted.)at n=45A005662
- a(n) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7.at n=33A005710
- Nonsquares such that some permutation of digits is a square.at n=38A007937
- Some nontrivial permutation of digits is a square.at n=46A007938
- Coordination sequence T1 for Zeolite Code GOO.at n=14A008111