The number 40089
40089 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 23 × 83. Divisors (16): 1, 3, 7, 21, 23, 69, 83, 161, 249, 483, 581, 1743, 1909, 5727, 13363, 40089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40089: a Harshad number: divisible by its digit sum 21.
- 2
40089 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 40089 itself that is 24423, so 40089 is deficient (24423 is less than 40089). Euler's totient φ(40089) = 21648 numbers up to 40089 share no factor with it.
- 4
The digits of 40089 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40089 = 3 \times 7 \times 23 \times 83 \]
40089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 21648 |
| Square | 1607127921 |
| Cube | 64428151224969 |
| Square root | 200.222376 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0089 × |
40089 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and eighty-nine |
| Binary (base 2) | 1001110010011001 |
| Octal (base 8) | 116231 |
| Hexadecimal (base 16) | 9C99 |
| Base 3 | 2000222210 |
| As time | 40089 seconds = 11 h 8 min 9 s |
Is 40089 divisible by 2 to 12?
| 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 (40089 ÷ 3 = 13363) | 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 | Yes (40089 ÷ 7 = 5727) | 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 3) | 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 5) | 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. |
Questions
Is 40089 a prime number?
No. 40089 = 3 × 7 × 23 × 83, so it is divisible by 3.
What are the factors of 40089?
1, 3, 7, 21, 23, 69, 83, 161, 249, 483, 581, 1743, 1909, 5727, 13363, 40089.
What is 40089 in binary?
1001110010011001 (hexadecimal 9C99, octal 116231).
What is the square root of 40089?
About 200.2224.
Is 40089 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40089?
40089 is a Harshad number: divisible by its digit sum 21.