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The number 2873

2873 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 17. Divisors (6): 1, 13, 17, 169, 221, 2873.

Number

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How to work it out

  1. 1

    2873 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    2873 is composite. Its prime factorisation is

    2873=132Ɨ172873 = 13^{2} \times 17
  3. 3

    The divisors add up to 3294; without 2873 itself that is 421, so 2873 is deficient (421 is less than 2873). Euler's totient φ(2873) = 2496 numbers up to 2873 share no factor with it.

  4. 4

    The digits of 2873 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.

LaTeX source of the formulas on this page
\[ 2873 = 13^{2} \times 17 \]

2873 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors3294
Euler totient φ(n)2496
Square8254129
Cube23714112617
Square root53.600373 (= 13√17)
Digit sum / digital root20 / 2
Collatz steps to 1172
Scientific notation2.873 Ɨ 10310^{3}

2873 in other forms

FormValue
In wordstwo thousand eight hundred and seventy-three
Roman numeralsMMDCCCLXXIII
Binary (base 2)101100111001
Octal (base 8)5471
Hexadecimal (base 16)B39
Base 310221102
As time2873 seconds = 47 min 53 s

Is 2873 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 2873 a prime number?

No. 2873 = 13213^{2} Ɨ 17, so it is divisible by 13.

What are the factors of 2873?

1, 13, 17, 169, 221, 2873.

What is 2873 in binary?

101100111001 (hexadecimal B39, octal 5471).

What is the square root of 2873?

About 53.6004, exactly 13√17.

What is 2873 in Roman numerals?

MMDCCCLXXIII.

Is 2873 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 2873?

It is a composite number with 6 divisors.

All about 2873

Find the next one

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    2873: is it prime? Factors, square root, binary, Roman numeral | WordGPT