The number 27636

Q: Is 27636 a prime number?

No. 27636 = 2^2 × 3 × 7^2 × 47, so it is divisible by 2.

27636 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 3 × $7^{2}$ × 47. Divisors (36): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 49, 84, 94, 98 … 27636.

Number

Pick any whole number from 1 to 100,000.

27636 = 2^{2} \times 3 \times 7^{2} \times 47

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How to work it out

1
27636 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
27636 is composite. Its prime factorisation is
$27636 = 2^{2} \times 3 \times 7^{2} \times 47$
3
The divisors add up to 76608; without 27636 itself that is 48972, so 27636 is abundant (48972 is more than 27636). Euler's totient φ(27636) = 7728 numbers up to 27636 share no factor with it.
4
The digits of 27636 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.

LaTeX source of the formulas on this page

\[ 27636 = 2^{2} \times 3 \times 7^{2} \times 47 \]

27636 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	76608
Euler totient φ(n)	7728
Square	763748496
Cube	21106953435456
Square root	166.240789 (= 14√141)
Digit sum / digital root	24 / 6
Collatz steps to 1	59
Scientific notation	2.7636 × $10^{4}$

27636 in other forms

Form	Value
In words	twenty-seven thousand six hundred and thirty-six
Binary (base 2)	110101111110100
Octal (base 8)	65764
Hexadecimal (base 16)	6BF4
Base 3	1101220120
As time	27636 seconds = 7 h 40 min 36 s

Is 27636 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (27636 ÷ 2 = 13818)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (27636 ÷ 3 = 9212)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (27636 ÷ 4 = 6909)	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	Yes (27636 ÷ 6 = 4606)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (27636 ÷ 7 = 3948)	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 6)	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 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (27636 ÷ 12 = 2303)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27636 a prime number?

No. 27636 = $2^{2}$ × 3 × $7^{2}$ × 47, so it is divisible by 2.

What are the factors of 27636?

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 49, 84, 94, 98, 141, 147, 188, 196, 282, 294, 329, 564, 588, 658, 987, 1316, 1974, 2303, 3948, 4606, 6909, 9212, 13818, 27636.

What is 27636 in binary?

110101111110100 (hexadecimal 6BF4, octal 65764).

What is the square root of 27636?

About 166.2408, exactly 14√141.

Is 27636 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 27636?

It is a composite number with 36 divisors.