The number 67080

Q: Is 67080 a prime number?

No. 67080 = 2^3 × 3 × 5 × 13 × 43, so it is divisible by 2.

67080 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 13 × 43. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39 … 67080.

Number

Pick any whole number from 1 to 100,000.

67080 = 2^{3} \times 3 \times 5 \times 13 \times 43

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How to work it out

1
67080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
67080 is composite. Its prime factorisation is
$67080 = 2^{3} \times 3 \times 5 \times 13 \times 43$
3
The divisors add up to 221760; without 67080 itself that is 154680, so 67080 is abundant (154680 is more than 67080). Euler's totient φ(67080) = 16128 numbers up to 67080 share no factor with it.
4
The digits of 67080 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 68 steps to reach 1.

LaTeX source of the formulas on this page

\[ 67080 = 2^{3} \times 3 \times 5 \times 13 \times 43 \]

67080 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	221760
Euler totient φ(n)	16128
Square	4499726400
Cube	301841646912000
Square root	258.998069 (= 2√16770)
Digit sum / digital root	21 / 3
Collatz steps to 1	68
Scientific notation	6.708 × $10^{4}$

67080 in other forms

Form	Value
In words	sixty-seven thousand and eighty
Binary (base 2)	10000011000001000
Octal (base 8)	203010
Hexadecimal (base 16)	10608
Base 3	10102000110
As time	67080 seconds = 18 h 38 min 0 s

Is 67080 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (67080 ÷ 2 = 33540)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (67080 ÷ 3 = 22360)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (67080 ÷ 4 = 16770)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (67080 ÷ 5 = 13416)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (67080 ÷ 6 = 11180)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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 (67080 ÷ 8 = 8385)	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 (67080 ÷ 10 = 6708)	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 (67080 ÷ 12 = 5590)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67080 a prime number?

No. 67080 = $2^{3}$ × 3 × 5 × 13 × 43, so it is divisible by 2.

What are the factors of 67080?

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 43, 52, 60, 65, 78, 86, 104, 120, 129, 130, 156, 172, 195, 215, 258, 260, 312, 344, 390, 430, 516, 520, 559, 645, 780, 860, 1032, 1118, 1290, 1560, 1677, 1720, 2236, 2580, 2795, 3354, 4472, 5160, 5590, 6708, 8385, 11180, 13416, 16770, 22360, 33540, 67080.

What is 67080 in binary?

10000011000001000 (hexadecimal 10608, octal 203010).

What is the square root of 67080?

About 258.9981, exactly 2√16770.

Is 67080 divisible by 3?

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

What is special about the number 67080?

It is a composite number with 64 divisors.