The number 83820

Q: Is 83820 a prime number?

No. 83820 = 2^2 × 3 × 5 × 11 × 127, so it is divisible by 2.

83820 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 11 × 127. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55 … 83820.

Number

Pick any whole number from 1 to 100,000.

83820 = 2^{2} \times 3 \times 5 \times 11 \times 127

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How to work it out

1
83820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
83820 is composite. Its prime factorisation is
$83820 = 2^{2} \times 3 \times 5 \times 11 \times 127$
3
The divisors add up to 258048; without 83820 itself that is 174228, so 83820 is abundant (174228 is more than 83820). Euler's totient φ(83820) = 20160 numbers up to 83820 share no factor with it.
4
The digits of 83820 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page

\[ 83820 = 2^{2} \times 3 \times 5 \times 11 \times 127 \]

83820 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	258048
Euler totient φ(n)	20160
Square	7025792400
Cube	588901918968000
Square root	289.516839 (= 2√20955)
Digit sum / digital root	21 / 3
Collatz steps to 1	89
Scientific notation	8.382 × $10^{4}$

83820 in other forms

Form	Value
In words	eighty-three thousand eight hundred and twenty
Binary (base 2)	10100011101101100
Octal (base 8)	243554
Hexadecimal (base 16)	1476C
Base 3	11020222110
As time	83820 seconds = 23 h 17 min 0 s

Is 83820 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (83820 ÷ 2 = 41910)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (83820 ÷ 3 = 27940)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (83820 ÷ 4 = 20955)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (83820 ÷ 5 = 16764)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (83820 ÷ 6 = 13970)	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 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (83820 ÷ 10 = 8382)	A number is divisible by 10 if the last digit is 0.
11	Yes (83820 ÷ 11 = 7620)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (83820 ÷ 12 = 6985)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 83820 a prime number?

No. 83820 = $2^{2}$ × 3 × 5 × 11 × 127, so it is divisible by 2.

What are the factors of 83820?

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 127, 132, 165, 220, 254, 330, 381, 508, 635, 660, 762, 1270, 1397, 1524, 1905, 2540, 2794, 3810, 4191, 5588, 6985, 7620, 8382, 13970, 16764, 20955, 27940, 41910, 83820.

What is 83820 in binary?

10100011101101100 (hexadecimal 1476C, octal 243554).

What is the square root of 83820?

About 289.5168, exactly 2√20955.

Is 83820 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 83820?

It is a composite number with 48 divisors.