The number 83220

Q: Is 83220 a prime number?

No. 83220 = 2^2 × 3 × 5 × 19 × 73, so it is divisible by 2.

83220 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 19 × 73. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 73 … 83220.

Number

Pick any whole number from 1 to 100,000.

83220 = 2^{2} \times 3 \times 5 \times 19 \times 73

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How to work it out

1
What is special about 83220: a Harshad number: divisible by its digit sum 15.
2
83220 is composite. Its prime factorisation is
$83220 = 2^{2} \times 3 \times 5 \times 19 \times 73$
3
The divisors add up to 248640; without 83220 itself that is 165420, so 83220 is abundant (165420 is more than 83220). Euler's totient φ(83220) = 20736 numbers up to 83220 share no factor with it.
4
The digits of 83220 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.

LaTeX source of the formulas on this page

\[ 83220 = 2^{2} \times 3 \times 5 \times 19 \times 73 \]

83220 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	248640
Euler totient φ(n)	20736
Square	6925568400
Cube	576345802248000
Square root	288.478769 (= 2√20805)
Digit sum / digital root	15 / 6
Collatz steps to 1	151
Scientific notation	8.322 × $10^{4}$

83220 in other forms

Form	Value
In words	eighty-three thousand two hundred and twenty
Binary (base 2)	10100010100010100
Octal (base 8)	242424
Hexadecimal (base 16)	14514
Base 3	11020011020
As time	83220 seconds = 23 h 7 min 0 s

Is 83220 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (83220 ÷ 2 = 41610)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (83220 ÷ 3 = 27740)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (83220 ÷ 4 = 20805)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (83220 ÷ 5 = 16644)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (83220 ÷ 6 = 13870)	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 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (83220 ÷ 10 = 8322)	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	Yes (83220 ÷ 12 = 6935)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 83220 a prime number?

No. 83220 = $2^{2}$ × 3 × 5 × 19 × 73, so it is divisible by 2.

What are the factors of 83220?

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 73, 76, 95, 114, 146, 190, 219, 228, 285, 292, 365, 380, 438, 570, 730, 876, 1095, 1140, 1387, 1460, 2190, 2774, 4161, 4380, 5548, 6935, 8322, 13870, 16644, 20805, 27740, 41610, 83220.

What is 83220 in binary?

10100010100010100 (hexadecimal 14514, octal 242424).

What is the square root of 83220?

About 288.4788, exactly 2√20805.

Is 83220 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 83220?

83220 is a Harshad number: divisible by its digit sum 15.