The number 40689
40689 is a composite number with 16 divisors. Its prime factorisation is × 11 × 137. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 137, 297, 411, 1233, 1507, 3699, 4521, 13563, 40689.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40689: a Harshad number: divisible by its digit sum 27.
- 2
40689 is composite. Its prime factorisation is
- 3
The divisors add up to 66240; without 40689 itself that is 25551, so 40689 is deficient (25551 is less than 40689). Euler's totient φ(40689) = 24480 numbers up to 40689 share no factor with it.
- 4
The digits of 40689 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40689 = 3^{3} \times 11 \times 137 \]40689 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 66240 |
| Euler totient φ(n) | 24480 |
| Square | 1655594721 |
| Cube | 67364493602769 |
| Square root | 201.715146 (= 3√4521) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0689 × |
40689 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and eighty-nine |
| Binary (base 2) | 1001111011110001 |
| Octal (base 8) | 117361 |
| Hexadecimal (base 16) | 9EF1 |
| Base 3 | 2001211000 |
| As time | 40689 seconds = 11 h 18 min 9 s |
Is 40689 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 (40689 ÷ 3 = 13563) | 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 5) | 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 | Yes (40689 ÷ 9 = 4521) | 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 | Yes (40689 ÷ 11 = 3699) | 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 40689 a prime number?
No. 40689 = × 11 × 137, so it is divisible by 3.
What are the factors of 40689?
1, 3, 9, 11, 27, 33, 99, 137, 297, 411, 1233, 1507, 3699, 4521, 13563, 40689.
What is 40689 in binary?
1001111011110001 (hexadecimal 9EF1, octal 117361).
What is the square root of 40689?
About 201.7151, exactly 3√4521.
Is 40689 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 40689?
40689 is a Harshad number: divisible by its digit sum 27.