The number 9010
9010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 17 × 53. Divisors (16): 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9010: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
9010 is composite. Its prime factorisation is
- 3
The divisors add up to 17496; without 9010 itself that is 8486, so 9010 is deficient (8486 is less than 9010). Euler's totient φ(9010) = 3328 numbers up to 9010 share no factor with it.
- 4
The digits of 9010 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9010 = 2 \times 5 \times 17 \times 53 \]
9010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17496 |
| Euler totient φ(n) | 3328 |
| Square | 81180100 |
| Cube | 731432701000 |
| Square root | 94.921020 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 9.01 × |
9010 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and ten |
| Binary (base 2) | 10001100110010 |
| Octal (base 8) | 21462 |
| Hexadecimal (base 16) | 2332 |
| Base 3 | 110100201 |
| As time | 9010 seconds = 2 h 30 min 10 s |
Is 9010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9010 ÷ 2 = 4505) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9010 ÷ 5 = 1802) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9010 ÷ 10 = 901) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9010 a prime number?
No. 9010 = 2 × 5 × 17 × 53, so it is divisible by 2.
What are the factors of 9010?
1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010.
What is 9010 in binary?
10001100110010 (hexadecimal 2332, octal 21462).
What is the square root of 9010?
About 94.9210.
Is 9010 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 9010?
9010 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.