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The number 31171

31171 is a composite number with 8 divisors. Its prime factorisation is 7 × 61 × 73. Divisors (8): 1, 7, 61, 73, 427, 511, 4453, 31171.

Number

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How to work it out

  1. 1

    31171 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

    31171 is composite. Its prime factorisation is

    31171=7×61×7331171 = 7 \times 61 \times 73
  3. 3

    The divisors add up to 36704; without 31171 itself that is 5533, so 31171 is deficient (5533 is less than 31171). Euler's totient φ(31171) = 25920 numbers up to 31171 share no factor with it.

  4. 4

    The digits of 31171 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31171 = 7 \times 61 \times 73 \]

31171 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors36704
Euler totient φ(n)25920
Square971631241
Cube30286717413211
Square root176.553108
Digit sum / digital root13 / 4
Collatz steps to 185
Scientific notation3.1171 × 10410^{4}

31171 in other forms

FormValue
In wordsthirty-one thousand one hundred and seventy-one
Binary (base 2)111100111000011
Octal (base 8)74703
Hexadecimal (base 16)79C3
Base 31120202111
As time31171 seconds = 8 h 39 min 31 s

Is 31171 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (31171 ÷ 7 = 4453)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31171 a prime number?

No. 31171 = 7 × 61 × 73, so it is divisible by 7.

What are the factors of 31171?

1, 7, 61, 73, 427, 511, 4453, 31171.

What is 31171 in binary?

111100111000011 (hexadecimal 79C3, octal 74703).

What is the square root of 31171?

About 176.5531.

Is 31171 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 31171?

It is a composite number with 8 divisors.

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    31171: is it prime? Factors, square root, binary, Roman numeral | WordGPT