The number 89012

Q: Is 89012 a prime number?

No. 89012 = 2^2 × 7 × 11 × 17^2, so it is divisible by 2.

89012 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 7 × 11 × $17^{2}$ . Divisors (36): 1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187 … 89012.

Number

Pick any whole number from 1 to 100,000.

89012 = 2^{2} \times 7 \times 11 \times 17^{2}

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How to work it out

1
89012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
89012 is composite. Its prime factorisation is
$89012 = 2^{2} \times 7 \times 11 \times 17^{2}$
3
The divisors add up to 206304; without 89012 itself that is 117292, so 89012 is abundant (117292 is more than 89012). Euler's totient φ(89012) = 32640 numbers up to 89012 share no factor with it.
4
The digits of 89012 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.

LaTeX source of the formulas on this page

\[ 89012 = 2^{2} \times 7 \times 11 \times 17^{2} \]

89012 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	206304
Euler totient φ(n)	32640
Square	7923136144
Cube	705254194449728
Square root	298.348789 (= 34√77)
Digit sum / digital root	20 / 2
Collatz steps to 1	120
Scientific notation	8.9012 × $10^{4}$

89012 in other forms

Form	Value
In words	eighty-nine thousand and twelve
Binary (base 2)	10101101110110100
Octal (base 8)	255664
Hexadecimal (base 16)	15BB4
Base 3	11112002202
As time	89012 seconds = 24 h 43 min 32 s

Is 89012 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (89012 ÷ 2 = 44506)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 2)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (89012 ÷ 4 = 22253)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 2)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 2)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (89012 ÷ 7 = 12716)	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 2)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 2)	A number is divisible by 10 if the last digit is 0.
11	Yes (89012 ÷ 11 = 8092)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 89012 a prime number?

No. 89012 = $2^{2}$ × 7 × 11 × $17^{2}$ , so it is divisible by 2.

What are the factors of 89012?

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 289, 308, 374, 476, 578, 748, 1156, 1309, 2023, 2618, 3179, 4046, 5236, 6358, 8092, 12716, 22253, 44506, 89012.

What is 89012 in binary?

10101101110110100 (hexadecimal 15BB4, octal 255664).

What is the square root of 89012?

About 298.3488, exactly 34√77.

Is 89012 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 89012?

It is a composite number with 36 divisors.