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The number 1694

1694 is a composite number with 12 divisors. Its prime factorisation is 2 × 7 × 11211^{2}. Divisors (12): 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694.

Number

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How to work it out

  1. 1

    1694 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

    1694 is composite. Its prime factorisation is

    1694=2×7×1121694 = 2 \times 7 \times 11^{2}
  3. 3

    The divisors add up to 3192; without 1694 itself that is 1498, so 1694 is deficient (1498 is less than 1694). Euler's totient φ(1694) = 660 numbers up to 1694 share no factor with it.

  4. 4

    The digits of 1694 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 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1694 = 2 \times 7 \times 11^{2} \]

1694 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors3192
Euler totient φ(n)660
Square2869636
Cube4861163384
Square root41.158231 (= 11√14)
Digit sum / digital root20 / 2
Collatz steps to 134
Scientific notation1.694 × 10310^{3}

1694 in other forms

FormValue
In wordsone thousand six hundred and ninety-four
Roman numeralsMDCXCIV
Binary (base 2)11010011110
Octal (base 8)3236
Hexadecimal (base 16)69E
Base 32022202
As time1694 seconds = 28 min 14 s

Is 1694 divisible by 2 to 12?

DivisorAnswerRule
2Yes (1694 ÷ 2 = 847)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.
7Yes (1694 ÷ 7 = 242)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 2)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.
11Yes (1694 ÷ 11 = 154)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 1694 a prime number?

No. 1694 = 2 × 7 × 11211^{2}, so it is divisible by 2.

What are the factors of 1694?

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694.

What is 1694 in binary?

11010011110 (hexadecimal 69E, octal 3236).

What is the square root of 1694?

About 41.1582, exactly 11√14.

What is 1694 in Roman numerals?

MDCXCIV.

Is 1694 divisible by 3?

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

What is special about the number 1694?

It is a composite number with 12 divisors.

All about 1694

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    1694: is it prime? Factors, square root, binary, Roman numeral | WordGPT