The number 80280

Q: Is 80280 a prime number?

No. 80280 = 2^3 × 3^2 × 5 × 223, so it is divisible by 2.

80280 is a composite number with 48 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × 5 × 223. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 80280.

Number

Pick any whole number from 1 to 100,000.

80280 = 2^{3} \times 3^{2} \times 5 \times 223

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How to work it out

1
What is special about 80280: a Harshad number: divisible by its digit sum 18.
2
80280 is composite. Its prime factorisation is
$80280 = 2^{3} \times 3^{2} \times 5 \times 223$
3
The divisors add up to 262080; without 80280 itself that is 181800, so 80280 is abundant (181800 is more than 80280). Euler's totient φ(80280) = 21312 numbers up to 80280 share no factor with it.
4
The digits of 80280 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page

\[ 80280 = 2^{3} \times 3^{2} \times 5 \times 223 \]

80280 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	262080
Euler totient φ(n)	21312
Square	6444878400
Cube	517394837952000
Square root	283.337255 (= 6√2230)
Digit sum / digital root	18 / 9
Collatz steps to 1	45
Scientific notation	8.028 × $10^{4}$

80280 in other forms

Form	Value
In words	eighty thousand two hundred and eighty
Binary (base 2)	10011100110011000
Octal (base 8)	234630
Hexadecimal (base 16)	13998
Base 3	11002010100
As time	80280 seconds = 22 h 18 min 0 s

Is 80280 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (80280 ÷ 2 = 40140)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (80280 ÷ 3 = 26760)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (80280 ÷ 4 = 20070)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (80280 ÷ 5 = 16056)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (80280 ÷ 6 = 13380)	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	Yes (80280 ÷ 8 = 10035)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (80280 ÷ 9 = 8920)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (80280 ÷ 10 = 8028)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 2)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (80280 ÷ 12 = 6690)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80280 a prime number?

No. 80280 = $2^{3}$ × $3^{2}$ × 5 × 223, so it is divisible by 2.

What are the factors of 80280?

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 223, 360, 446, 669, 892, 1115, 1338, 1784, 2007, 2230, 2676, 3345, 4014, 4460, 5352, 6690, 8028, 8920, 10035, 13380, 16056, 20070, 26760, 40140, 80280.

What is 80280 in binary?

10011100110011000 (hexadecimal 13998, octal 234630).

What is the square root of 80280?

About 283.3373, exactly 6√2230.

Is 80280 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 80280?

80280 is a Harshad number: divisible by its digit sum 18.