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3003 = 371113
BaseRepresentation
bin101110111011
311010020
4232323
544003
621523
711520
oct5673
94106
103003
112290
1218a3
1314a0
141147
15d53
hexbbb

3003 has 16 divisors (see below), whose sum is σ = 5376. Its totient is φ = 1440.

The previous prime is 3001. The next prime is 3011.

3003 is nontrivially palindromic in base 10 and base 16.

3003 is an esthetic number in base 4, because in such base it adjacent digits differ by 1.

3003 is a nontrivial binomial coefficient, being equal to C(78, 2), to C(14, 6), and to C(15, 5).

It is not a de Polignac number, because 3003 - 21 = 3001 is a prime.

It is a D-number.

3003 is an undulating number in base 4.

3003 is a lucky number.

3003 is a nontrivial repdigit in base 16.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2982 and 3000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (336).

3003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3003 is the 77-th triangular number and also the 39-th hexagonal number.

3003 is a deficient number, since it is larger than the sum of its proper divisors (2373).

3003 is a wasteful number, since it uses less digits than its factorization.

3003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34.

The product of its (nonzero) digits is 9, while the sum is 6.

The square root of 3003 is about 54.7996350353. The cubic root of 3003 is about 14.4273016000.

The spelling of 3003 in words is "three thousand, three", and is thus an iban number.

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003