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The number 3394

3394 is a composite number with 4 divisors. Its prime factorisation is 2 × 1697. Divisors (4): 1, 2, 1697, 3394.

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How to work it out

  1. 1

    What is special about 3394: a semiprime: 2 × 1697, the product of two primes.

  2. 2

    3394 is composite. Its prime factorisation is

    3394=2×16973394 = 2 \times 1697
  3. 3

    The divisors add up to 5094; without 3394 itself that is 1700, so 3394 is deficient (1700 is less than 3394). Euler's totient φ(3394) = 1696 numbers up to 3394 share no factor with it.

  4. 4

    The digits of 3394 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3394 = 2 \times 1697 \]

3394 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5094
Euler totient φ(n)1696
Square11519236
Cube39096286984
Square root58.258047
Digit sum / digital root19 / 1
Collatz steps to 135
Scientific notation3.394 × 10310^{3}

3394 in other forms

FormValue
In wordsthree thousand three hundred and ninety-four
Roman numeralsMMMCCCXCIV
Binary (base 2)110101000010
Octal (base 8)6502
Hexadecimal (base 16)D42
Base 311122201
As time3394 seconds = 56 min 34 s

Is 3394 divisible by 2 to 12?

DivisorAnswerRule
2Yes (3394 ÷ 2 = 1697)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.
7No (remainder 6)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 6)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 3394 a prime number?

No. 3394 = 2 × 1697, so it is divisible by 2.

What are the factors of 3394?

1, 2, 1697, 3394.

What is 3394 in binary?

110101000010 (hexadecimal D42, octal 6502).

What is the square root of 3394?

About 58.2580.

What is 3394 in Roman numerals?

MMMCCCXCIV.

Is 3394 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 3394?

3394 is a semiprime: 2 × 1697, the product of two primes.

All about 3394

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    3394: is it prime? Factors, square root, binary, Roman numeral | WordGPT