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The number 31694

31694 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 23 × 53. Divisors (16): 1, 2, 13, 23, 26, 46, 53, 106, 299, 598, 689, 1219, 1378, 2438, 15847, 31694.

Number

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How to work it out

  1. 1

    What is special about 31694: a Harshad number: divisible by its digit sum 23.

  2. 2

    31694 is composite. Its prime factorisation is

    31694=2×13×23×5331694 = 2 \times 13 \times 23 \times 53
  3. 3

    The divisors add up to 54432; without 31694 itself that is 22738, so 31694 is deficient (22738 is less than 31694). Euler's totient φ(31694) = 13728 numbers up to 31694 share no factor with it.

  4. 4

    The digits of 31694 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31694 = 2 \times 13 \times 23 \times 53 \]

31694 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors54432
Euler totient φ(n)13728
Square1004509636
Cube31836928403384
Square root178.028088
Digit sum / digital root23 / 5
Collatz steps to 159
Scientific notation3.1694 × 10410^{4}

31694 in other forms

FormValue
In wordsthirty-one thousand six hundred and ninety-four
Binary (base 2)111101111001110
Octal (base 8)75716
Hexadecimal (base 16)7BCE
Base 31121110212
As time31694 seconds = 8 h 48 min 14 s

Is 31694 divisible by 2 to 12?

DivisorAnswerRule
2Yes (31694 ÷ 2 = 15847)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 5)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 3)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 31694 a prime number?

No. 31694 = 2 × 13 × 23 × 53, so it is divisible by 2.

What are the factors of 31694?

1, 2, 13, 23, 26, 46, 53, 106, 299, 598, 689, 1219, 1378, 2438, 15847, 31694.

What is 31694 in binary?

111101111001110 (hexadecimal 7BCE, octal 75716).

What is the square root of 31694?

About 178.0281.

Is 31694 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 31694?

31694 is a Harshad number: divisible by its digit sum 23.

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    31694: is it prime? Factors, square root, binary, Roman numeral | WordGPT