203
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 240
- 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
- 168
- Möbius Function
- 1
- Radical
- 203
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- yes
- 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
- 39
- 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
- zweihundertdrei· ordinal: zweihundertdreiste
- English
- two hundred three· ordinal: two hundred third
- Spanish
- doscientos tres· ordinal: 203º
- French
- deux cent trois· ordinal: deux cent troisième
- Italian
- duecentotre· ordinal: 203º
- Latin
- ducenti tres· ordinal: 203.
- Portuguese
- duzentos e três· ordinal: 203º
Appears in sequences
- Bell or exponential numbers: number of ways to partition a set of n labeled elements.at n=6A000110
- n written in base where place values are positive cubes.at n=57A000433
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=15A001485
- v-pile numbers of the 3-Wythoff game with i=1.at n=47A001958
- Least number k such that phi(k) = m, where m runs through the values (A002202) taken by phi.at n=61A002181
- Numbers m such that m^2 + m + 1 is prime.at n=57A002384
- Inverse of reduced totient function.at n=33A002396
- The game of Mousetrap with n cards: the number of permutations of n cards in which 2 is the only hit.at n=5A002469
- Numbers k such that binomial(2*k,k) is divisible by (k+1)^2.at n=16A002503
- a(n) = 8*a(n-2) - 9*a(n-4).at n=7A002536
- Odd squarefree numbers with an even number of prime factors that have no prime factors greater than 31.at n=25A002557
- Expansion of 1/((1-x)^4*(1+x)).at n=11A002623
- Sum of logarithmic numbers.at n=4A002746
- Number of solutions to a linear inequality.at n=13A002797
- a(n) = ceiling(log_2 n!).at n=48A003070
- A self-generating sequence (see Comments in A003156 for the definition).at n=50A003157
- a(n) = A000201(A003234(n)) + n.at n=28A003248
- The number m such that A001950(m) = A003231(A003234(n)).at n=40A003250
- Number of simple tournaments with n nodes.at n=6A003505
- Duffinian numbers: composite numbers k relatively prime to sigma(k).at n=45A003624