303
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 408
- Proper Divisor Sum (Aliquot Sum)
- 105
- 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
- 200
- Möbius Function
- 1
- Radical
- 303
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- dreihundertdrei· ordinal: dreihundertdreiste
- English
- three hundred three· ordinal: three hundred third
- Spanish
- trescientos tres· ordinal: 303º
- French
- trois cent trois· ordinal: trois cent troisième
- Italian
- trecentotre· ordinal: 303º
- Latin
- trecenti tres· ordinal: 303.
- Portuguese
- trezentos e três· ordinal: 303º
Appears in sequences
- Numbers that are not the sum of 4 tetrahedral numbers.at n=23A000797
- Lucky numbers.at n=56A000959
- a(n) = 3 * prime(n).at n=25A001748
- Palindromes in base 10.at n=39A002113
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=46A002155
- Denominators of convergents to cube root of 3.at n=6A002353
- Numbers k such that x^k + x + 1 is irreducible over GF(2).at n=17A002475
- Numbers k such that (k^2 + k + 1)/7 is prime.at n=31A002641
- Numbers k such that (k^2 + 1)/10 is prime.at n=31A002733
- Write down the numbers from 3 to infinity. Take next number, M say, that has not been crossed off. Counting through the numbers that have not yet been crossed off after that M, cross off the first, (M+1)st, (2M+1)st, (3M+1)st, etc. Repeat. The numbers that are left form the sequence.at n=50A003311
- a(n) is smallest number which is uniquely of the form a(j) + a(k) with 1 <= j < k < n and a(1) = 1, a(2) = 5.at n=58A003667
- a(n) is smallest number which is uniquely a(j)+a(k).at n=53A003670
- a(n) = floor((n^2 + 6n - 3)/4).at n=31A004116
- From a counter moving problem.at n=10A004138
- Numbers that are the sum of 4 but no fewer nonzero squares.at n=48A004215
- Divisible only by primes congruent to 3 mod 7.at n=24A004621
- a(n) = 8*n + 7. Or, numbers whose binary expansion ends in 111.at n=37A004771
- Self-convolution of Lucas numbers.at n=6A004799
- T is the first, fourth, eleventh, ... letter in this sentence, not counting spaces or commas (Aronson's sequence).at n=53A005224
- Number of Twopins positions.at n=13A005689