The number 90010
90010 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 9001. Divisors (8): 1, 2, 5, 10, 9001, 18002, 45005, 90010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90010: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
90010 is composite. Its prime factorisation is
- 3
The divisors add up to 162036; without 90010 itself that is 72026, so 90010 is deficient (72026 is less than 90010). Euler's totient φ(90010) = 36000 numbers up to 90010 share no factor with it.
- 4
The digits of 90010 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90010 = 2 \times 5 \times 9001 \]
90010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 162036 |
| Euler totient φ(n) | 36000 |
| Square | 8101800100 |
| Cube | 729243027001000 |
| Square root | 300.016666 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 9.001 × |
90010 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and ten |
| Binary (base 2) | 10101111110011010 |
| Octal (base 8) | 257632 |
| Hexadecimal (base 16) | 15F9A |
| Base 3 | 11120110201 |
| As time | 90010 seconds = 25 h 0 min 10 s |
Is 90010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90010 ÷ 2 = 45005) | 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 (90010 ÷ 5 = 18002) | 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 4) | 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 (90010 ÷ 10 = 9001) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 90010 a prime number?
No. 90010 = 2 × 5 × 9001, so it is divisible by 2.
What are the factors of 90010?
1, 2, 5, 10, 9001, 18002, 45005, 90010.
What is 90010 in binary?
10101111110011010 (hexadecimal 15F9A, octal 257632).
What is the square root of 90010?
About 300.0167.
Is 90010 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 90010?
90010 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.