The number 31684

No. 31684 = 2^2 × 89^2, so it is divisible by 2.

31684 is a perfect square (178²). Its prime factorisation is $2^{2}$ × $89^{2}$ . Divisors (9): 1, 2, 4, 89, 178, 356, 7921, 15842, 31684.

Number

Pick any whole number from 1 to 100,000.

31684 = 2^{2} \times 89^{2}

How to work it out

1
What is special about 31684: a perfect square (178²).
2
31684 is composite. Its prime factorisation is
$31684 = 2^{2} \times 89^{2}$
3
The divisors add up to 56077; without 31684 itself that is 24393, so 31684 is deficient (24393 is less than 31684). Euler's totient φ(31684) = 15664 numbers up to 31684 share no factor with it.
4
The digits of 31684 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.

LaTeX source of the formulas on this page

\[ 31684 = 2^{2} \times 89^{2} \]

Form	Value
In words	thirty-one thousand six hundred and eighty-four
Binary (base 2)	111101111000100
Octal (base 8)	75704
Hexadecimal (base 16)	7BC4
Base 3	1121110111
As time	31684 seconds = 8 h 48 min 4 s

Divisor	Answer	Rule
2	Yes (31684 ÷ 2 = 15842)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (31684 ÷ 4 = 7921)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 4)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 4)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Is 31684 a prime number?

No. 31684 = $2^{2}$ × $89^{2}$ , so it is divisible by 2.

What are the factors of 31684?

1, 2, 4, 89, 178, 356, 7921, 15842, 31684.

What is 31684 in binary?

111101111000100 (hexadecimal 7BC4, octal 75704).

What is the square root of 31684?

178, because 178 × 178 = 31684.

Is 31684 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 31684?

31684 is a perfect square (178²).