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The number 31679

31679 is a composite number with 4 divisors. Its prime factorisation is 79 × 401. Divisors (4): 1, 79, 401, 31679.

Number

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How to work it out

  1. 1

    What is special about 31679: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 79 × 401, the product of two primes.

  2. 2

    31679 is composite. Its prime factorisation is

    31679=79×40131679 = 79 \times 401
  3. 3

    The divisors add up to 32160; without 31679 itself that is 481, so 31679 is deficient (481 is less than 31679). Euler's totient φ(31679) = 31200 numbers up to 31679 share no factor with it.

  4. 4

    The digits of 31679 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31679 = 79 \times 401 \]

31679 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors32160
Euler totient φ(n)31200
Square1003559041
Cube31791746859839
Square root177.985955
Digit sum / digital root26 / 8
Collatz steps to 177
Scientific notation3.1679 × 10410^{4}

31679 in other forms

FormValue
In wordsthirty-one thousand six hundred and seventy-nine
Binary (base 2)111101110111111
Octal (base 8)75677
Hexadecimal (base 16)7BBF
Base 31121110022
As time31679 seconds = 8 h 47 min 59 s

Is 31679 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 2)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31679 a prime number?

No. 31679 = 79 × 401, so it is divisible by 79.

What are the factors of 31679?

1, 79, 401, 31679.

What is 31679 in binary?

111101110111111 (hexadecimal 7BBF, octal 75677).

What is the square root of 31679?

About 177.9860.

Is 31679 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 31679?

31679 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 79 × 401, the product of two primes.

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