The number 80580

Q: Is 80580 a prime number?

No. 80580 = 2^2 × 3 × 5 × 17 × 79, so it is divisible by 2.

80580 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 17 × 79. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68 … 80580.

Number

Pick any whole number from 1 to 100,000.

80580 = 2^{2} \times 3 \times 5 \times 17 \times 79

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How to work it out

1
80580 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
80580 is composite. Its prime factorisation is
$80580 = 2^{2} \times 3 \times 5 \times 17 \times 79$
3
The divisors add up to 241920; without 80580 itself that is 161340, so 80580 is abundant (161340 is more than 80580). Euler's totient φ(80580) = 19968 numbers up to 80580 share no factor with it.
4
The digits of 80580 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 138 steps to reach 1.

LaTeX source of the formulas on this page

\[ 80580 = 2^{2} \times 3 \times 5 \times 17 \times 79 \]

80580 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	241920
Euler totient φ(n)	19968
Square	6493136400
Cube	523216931112000
Square root	283.866166 (= 2√20145)
Digit sum / digital root	21 / 3
Collatz steps to 1	138
Scientific notation	8.058 × $10^{4}$

80580 in other forms

Form	Value
In words	eighty thousand five hundred and eighty
Binary (base 2)	10011101011000100
Octal (base 8)	235304
Hexadecimal (base 16)	13AC4
Base 3	11002112110
As time	80580 seconds = 22 h 23 min 0 s

Is 80580 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (80580 ÷ 2 = 40290)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (80580 ÷ 3 = 26860)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (80580 ÷ 4 = 20145)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (80580 ÷ 5 = 16116)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (80580 ÷ 6 = 13430)	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	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (80580 ÷ 10 = 8058)	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 (80580 ÷ 12 = 6715)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80580 a prime number?

No. 80580 = $2^{2}$ × 3 × 5 × 17 × 79, so it is divisible by 2.

What are the factors of 80580?

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 79, 85, 102, 158, 170, 204, 237, 255, 316, 340, 395, 474, 510, 790, 948, 1020, 1185, 1343, 1580, 2370, 2686, 4029, 4740, 5372, 6715, 8058, 13430, 16116, 20145, 26860, 40290, 80580.

What is 80580 in binary?

10011101011000100 (hexadecimal 13AC4, octal 235304).

What is the square root of 80580?

About 283.8662, exactly 2√20145.

Is 80580 divisible by 3?

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

What is special about the number 80580?

It is a composite number with 48 divisors.