The number 40989
40989 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1051. Divisors (8): 1, 3, 13, 39, 1051, 3153, 13663, 40989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40989 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40989 is composite. Its prime factorisation is
- 3
The divisors add up to 58912; without 40989 itself that is 17923, so 40989 is deficient (17923 is less than 40989). Euler's totient φ(40989) = 25200 numbers up to 40989 share no factor with it.
- 4
The digits of 40989 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40989 = 3 \times 13 \times 1051 \]
40989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58912 |
| Euler totient φ(n) | 25200 |
| Square | 1680098121 |
| Cube | 68865541881669 |
| Square root | 202.457403 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0989 × |
40989 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and eighty-nine |
| Binary (base 2) | 1010000000011101 |
| Octal (base 8) | 120035 |
| Hexadecimal (base 16) | A01D |
| Base 3 | 2002020010 |
| As time | 40989 seconds = 11 h 23 min 9 s |
Is 40989 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 (40989 ÷ 3 = 13663) | 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 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 5) | 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 3) | 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 40989 a prime number?
No. 40989 = 3 × 13 × 1051, so it is divisible by 3.
What are the factors of 40989?
1, 3, 13, 39, 1051, 3153, 13663, 40989.
What is 40989 in binary?
1010000000011101 (hexadecimal A01D, octal 120035).
What is the square root of 40989?
About 202.4574.
Is 40989 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 40989?
It is a composite number with 8 divisors.