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The number 31678

31678 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 337. Divisors (8): 1, 2, 47, 94, 337, 674, 15839, 31678.

Number

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How to work it out

  1. 1

    31678 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

    31678 is composite. Its prime factorisation is

    31678=2×47×33731678 = 2 \times 47 \times 337
  3. 3

    The divisors add up to 48672; without 31678 itself that is 16994, so 31678 is deficient (16994 is less than 31678). Euler's totient φ(31678) = 15456 numbers up to 31678 share no factor with it.

  4. 4

    The digits of 31678 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31678 = 2 \times 47 \times 337 \]

31678 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors48672
Euler totient φ(n)15456
Square1003495684
Cube31788736277752
Square root177.983145
Digit sum / digital root25 / 7
Collatz steps to 177
Scientific notation3.1678 × 10410^{4}

31678 in other forms

FormValue
In wordsthirty-one thousand six hundred and seventy-eight
Binary (base 2)111101110111110
Octal (base 8)75676
Hexadecimal (base 16)7BBE
Base 31121110021
As time31678 seconds = 8 h 47 min 58 s

Is 31678 divisible by 2 to 12?

DivisorAnswerRule
2Yes (31678 ÷ 2 = 15839)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 3)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 3)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 31678 a prime number?

No. 31678 = 2 × 47 × 337, so it is divisible by 2.

What are the factors of 31678?

1, 2, 47, 94, 337, 674, 15839, 31678.

What is 31678 in binary?

111101110111110 (hexadecimal 7BBE, octal 75676).

What is the square root of 31678?

About 177.9831.

Is 31678 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 31678?

It is a composite number with 8 divisors.

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    31678: is it prime? Factors, square root, binary, Roman numeral | WordGPT