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The number 31676

31676 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 7919. Divisors (6): 1, 2, 4, 7919, 15838, 31676.

Number

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How to work it out

  1. 1

    31676 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

    31676 is composite. Its prime factorisation is

    31676=22×791931676 = 2^{2} \times 7919
  3. 3

    The divisors add up to 55440; without 31676 itself that is 23764, so 31676 is deficient (23764 is less than 31676). Euler's totient φ(31676) = 15836 numbers up to 31676 share no factor with it.

  4. 4

    The digits of 31676 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 77 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31676 = 2^{2} \times 7919 \]

31676 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors55440
Euler totient φ(n)15836
Square1003368976
Cube31782715683776
Square root177.977527 (= 2√7919)
Digit sum / digital root23 / 5
Collatz steps to 177
Scientific notation3.1676 × 10410^{4}

31676 in other forms

FormValue
In wordsthirty-one thousand six hundred and seventy-six
Binary (base 2)111101110111100
Octal (base 8)75674
Hexadecimal (base 16)7BBC
Base 31121110012
As time31676 seconds = 8 h 47 min 56 s

Is 31676 divisible by 2 to 12?

DivisorAnswerRule
2Yes (31676 ÷ 2 = 15838)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.
4Yes (31676 ÷ 4 = 7919)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 4)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31676 a prime number?

No. 31676 = 222^{2} × 7919, so it is divisible by 2.

What are the factors of 31676?

1, 2, 4, 7919, 15838, 31676.

What is 31676 in binary?

111101110111100 (hexadecimal 7BBC, octal 75674).

What is the square root of 31676?

About 177.9775, exactly 2√7919.

Is 31676 divisible by 3?

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

What is special about the number 31676?

It is a composite number with 6 divisors.

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