The number 67081

No. 67081 = 7^2 × 37^2, so it is divisible by 7.

67081 is a perfect square (259²). Its prime factorisation is $7^{2}$ × $37^{2}$ . Divisors (9): 1, 7, 37, 49, 259, 1369, 1813, 9583, 67081.

Number

Pick any whole number from 1 to 100,000.

67081 = 7^{2} \times 37^{2}

How to work it out

1
What is special about 67081: a perfect square (259²).
2
67081 is composite. Its prime factorisation is
$67081 = 7^{2} \times 37^{2}$
3
The divisors add up to 80199; without 67081 itself that is 13118, so 67081 is deficient (13118 is less than 67081). Euler's totient φ(67081) = 55944 numbers up to 67081 share no factor with it.
4
The digits of 67081 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 236 steps to reach 1.

LaTeX source of the formulas on this page

\[ 67081 = 7^{2} \times 37^{2} \]

Form	Value
In words	sixty-seven thousand and eighty-one
Binary (base 2)	10000011000001001
Octal (base 8)	203011
Hexadecimal (base 16)	10609
Base 3	10102000111
As time	67081 seconds = 18 h 38 min 1 s

Divisor	Answer	Rule
2	No (remainder 1)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 1)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 1)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (67081 ÷ 7 = 9583)	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 1)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 4)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 1)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 1)	A number is divisible by 12 if it is divisible by both 3 and 4.

Is 67081 a prime number?

No. 67081 = $7^{2}$ × $37^{2}$ , so it is divisible by 7.

What are the factors of 67081?

1, 7, 37, 49, 259, 1369, 1813, 9583, 67081.

What is 67081 in binary?

10000011000001001 (hexadecimal 10609, octal 203011).

What is the square root of 67081?

259, because 259 × 259 = 67081.

Is 67081 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 67081?

67081 is a perfect square (259²).