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The number 3094

3094 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 17. Divisors (16): 1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094.

Number

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How to work it out

  1. 1

    3094 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

    3094 is composite. Its prime factorisation is

    3094=2×7×13×173094 = 2 \times 7 \times 13 \times 17
  3. 3

    The divisors add up to 6048; without 3094 itself that is 2954, so 3094 is deficient (2954 is less than 3094). Euler's totient φ(3094) = 1152 numbers up to 3094 share no factor with it.

  4. 4

    The digits of 3094 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3094 = 2 \times 7 \times 13 \times 17 \]

3094 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors6048
Euler totient φ(n)1152
Square9572836
Cube29618354584
Square root55.623736
Digit sum / digital root16 / 7
Collatz steps to 135
Scientific notation3.094 × 10310^{3}

3094 in other forms

FormValue
In wordsthree thousand and ninety-four
Roman numeralsMMMXCIV
Binary (base 2)110000010110
Octal (base 8)6026
Hexadecimal (base 16)C16
Base 311020121
As time3094 seconds = 51 min 34 s

Is 3094 divisible by 2 to 12?

DivisorAnswerRule
2Yes (3094 ÷ 2 = 1547)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (3094 ÷ 7 = 442)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3094 a prime number?

No. 3094 = 2 × 7 × 13 × 17, so it is divisible by 2.

What are the factors of 3094?

1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094.

What is 3094 in binary?

110000010110 (hexadecimal C16, octal 6026).

What is the square root of 3094?

About 55.6237.

What is 3094 in Roman numerals?

MMMXCIV.

Is 3094 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 3094?

It is a composite number with 16 divisors.

All about 3094

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    3094: is it prime? Factors, square root, binary, Roman numeral | WordGPT