The number 37636

No. 37636 = 2^2 × 97^2, so it is divisible by 2.

37636 is a perfect square (194²). Its prime factorisation is $2^{2}$ × $97^{2}$ . Divisors (9): 1, 2, 4, 97, 194, 388, 9409, 18818, 37636.

Number

Pick any whole number from 1 to 100,000.

37636 = 2^{2} \times 97^{2}

How to work it out

1
What is special about 37636: a perfect square (194²); a happy number: repeatedly adding the squares of its digits reaches 1.
2
37636 is composite. Its prime factorisation is
$37636 = 2^{2} \times 97^{2}$
3
The divisors add up to 66549; without 37636 itself that is 28913, so 37636 is deficient (28913 is less than 37636). Euler's totient φ(37636) = 18624 numbers up to 37636 share no factor with it.
4
The digits of 37636 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 62 steps to reach 1.

LaTeX source of the formulas on this page

\[ 37636 = 2^{2} \times 97^{2} \]

Form	Value
In words	thirty-seven thousand six hundred and thirty-six
Binary (base 2)	1001001100000100
Octal (base 8)	111404
Hexadecimal (base 16)	9304
Base 3	1220121221
As time	37636 seconds = 10 h 27 min 16 s

Divisor	Answer	Rule
2	Yes (37636 ÷ 2 = 18818)	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 (37636 ÷ 4 = 9409)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	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 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.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 7)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 6)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 5)	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 37636 a prime number?

No. 37636 = $2^{2}$ × $97^{2}$ , so it is divisible by 2.

What are the factors of 37636?

1, 2, 4, 97, 194, 388, 9409, 18818, 37636.

What is 37636 in binary?

1001001100000100 (hexadecimal 9304, octal 111404).

What is the square root of 37636?

194, because 194 × 194 = 37636.

Is 37636 divisible by 3?

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

What is special about the number 37636?

37636 is a perfect square (194²); a happy number: repeatedly adding the squares of its digits reaches 1.