The number 82764

Q: Is 82764 a prime number?

No. 82764 = 2^2 × 3^2 × 11^2 × 19, so it is divisible by 2.

82764 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × $11^{2}$ × 19. Divisors (54): 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57 … 82764.

Number

Pick any whole number from 1 to 100,000.

82764 = 2^{2} \times 3^{2} \times 11^{2} \times 19

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How to work it out

1
82764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
82764 is composite. Its prime factorisation is
$82764 = 2^{2} \times 3^{2} \times 11^{2} \times 19$
3
The divisors add up to 242060; without 82764 itself that is 159296, so 82764 is abundant (159296 is more than 82764). Euler's totient φ(82764) = 23760 numbers up to 82764 share no factor with it.
4
The digits of 82764 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.

LaTeX source of the formulas on this page

\[ 82764 = 2^{2} \times 3^{2} \times 11^{2} \times 19 \]

82764 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	242060
Euler totient φ(n)	23760
Square	6849879696
Cube	566923443159744
Square root	287.687330 (= 66√19)
Digit sum / digital root	27 / 9
Collatz steps to 1	151
Scientific notation	8.2764 × $10^{4}$

82764 in other forms

Form	Value
In words	eighty-two thousand seven hundred and sixty-four
Binary (base 2)	10100001101001100
Octal (base 8)	241514
Hexadecimal (base 16)	1434C
Base 3	11012112100
As time	82764 seconds = 22 h 59 min 24 s

Is 82764 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (82764 ÷ 2 = 41382)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (82764 ÷ 3 = 27588)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (82764 ÷ 4 = 20691)	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	Yes (82764 ÷ 6 = 13794)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 3)	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	Yes (82764 ÷ 9 = 9196)	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	Yes (82764 ÷ 11 = 7524)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (82764 ÷ 12 = 6897)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 82764 a prime number?

No. 82764 = $2^{2}$ × $3^{2}$ × $11^{2}$ × 19, so it is divisible by 2.

What are the factors of 82764?

1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 121, 132, 171, 198, 209, 228, 242, 342, 363, 396, 418, 484, 627, 684, 726, 836, 1089, 1254, 1452, 1881, 2178, 2299, 2508, 3762, 4356, 4598, 6897, 7524, 9196, 13794, 20691, 27588, 41382, 82764.

What is 82764 in binary?

10100001101001100 (hexadecimal 1434C, octal 241514).

What is the square root of 82764?

About 287.6873, exactly 66√19.

Is 82764 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 82764?

It is a composite number with 54 divisors.