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The number 1094

1094 is a composite number with 4 divisors. Its prime factorisation is 2 × 547. Divisors (4): 1, 2, 547, 1094.

Number

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How to work it out

  1. 1

    What is special about 1094: a semiprime: 2 × 547, the product of two primes.

  2. 2

    1094 is composite. Its prime factorisation is

    1094=2×5471094 = 2 \times 547
  3. 3

    The divisors add up to 1644; without 1094 itself that is 550, so 1094 is deficient (550 is less than 1094). Euler's totient φ(1094) = 546 numbers up to 1094 share no factor with it.

  4. 4

    The digits of 1094 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1094 = 2 \times 547 \]

1094 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1644
Euler totient φ(n)546
Square1196836
Cube1309338584
Square root33.075671
Digit sum / digital root14 / 5
Collatz steps to 131
Scientific notation1.094 × 10310^{3}

1094 in other forms

FormValue
In wordsone thousand and ninety-four
Roman numeralsMXCIV
Binary (base 2)10001000110
Octal (base 8)2106
Hexadecimal (base 16)446
Base 31111112
As time1094 seconds = 18 min 14 s

Is 1094 divisible by 2 to 12?

DivisorAnswerRule
2Yes (1094 ÷ 2 = 547)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 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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 5)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 1094 a prime number?

No. 1094 = 2 × 547, so it is divisible by 2.

What are the factors of 1094?

1, 2, 547, 1094.

What is 1094 in binary?

10001000110 (hexadecimal 446, octal 2106).

What is the square root of 1094?

About 33.0757.

What is 1094 in Roman numerals?

MXCIV.

Is 1094 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 1094?

1094 is a semiprime: 2 × 547, the product of two primes.

All about 1094

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    1094: is it prime? Factors, square root, binary, Roman numeral | WordGPT