The number 71289

No. 71289 = 3^2 × 89^2, so it is divisible by 3.

71289 is a perfect square (267²). Its prime factorisation is $3^{2}$ × $89^{2}$ . Divisors (9): 1, 3, 9, 89, 267, 801, 7921, 23763, 71289.

Number

Pick any whole number from 1 to 100,000.

71289 = 3^{2} \times 89^{2}

How to work it out

1
What is special about 71289: a perfect square (267²).
2
71289 is composite. Its prime factorisation is
$71289 = 3^{2} \times 89^{2}$
3
The divisors add up to 104143; without 71289 itself that is 32854, so 71289 is deficient (32854 is less than 71289). Euler's totient φ(71289) = 46992 numbers up to 71289 share no factor with it.
4
The digits of 71289 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.

LaTeX source of the formulas on this page

\[ 71289 = 3^{2} \times 89^{2} \]

Form	Value
In words	seventy-one thousand two hundred and eighty-nine
Binary (base 2)	10001011001111001
Octal (base 8)	213171
Hexadecimal (base 16)	11679
Base 3	10121210100
As time	71289 seconds = 19 h 48 min 9 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	Yes (71289 ÷ 3 = 23763)	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 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 3)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	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	Yes (71289 ÷ 9 = 7921)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 9)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 9)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 9)	A number is divisible by 12 if it is divisible by both 3 and 4.

Is 71289 a prime number?

No. 71289 = $3^{2}$ × $89^{2}$ , so it is divisible by 3.

What are the factors of 71289?

1, 3, 9, 89, 267, 801, 7921, 23763, 71289.

What is 71289 in binary?

10001011001111001 (hexadecimal 11679, octal 213171).

What is the square root of 71289?

267, because 267 × 267 = 71289.

Is 71289 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 71289?

71289 is a perfect square (267²).