The number 40335
40335 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 2689. Divisors (8): 1, 3, 5, 15, 2689, 8067, 13445, 40335.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40335: a Harshad number: divisible by its digit sum 15.
- 2
40335 is composite. Its prime factorisation is
- 3
The divisors add up to 64560; without 40335 itself that is 24225, so 40335 is deficient (24225 is less than 40335). Euler's totient φ(40335) = 21504 numbers up to 40335 share no factor with it.
- 4
The digits of 40335 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40335 = 3 \times 5 \times 2689 \]
40335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64560 |
| Euler totient φ(n) | 21504 |
| Square | 1626912225 |
| Cube | 65621504595375 |
| Square root | 200.835754 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0335 × |
40335 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and thirty-five |
| Binary (base 2) | 1001110110001111 |
| Octal (base 8) | 116617 |
| Hexadecimal (base 16) | 9D8F |
| Base 3 | 2001022220 |
| As time | 40335 seconds = 11 h 12 min 15 s |
Is 40335 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 (40335 ÷ 3 = 13445) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40335 ÷ 5 = 8067) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40335 a prime number?
No. 40335 = 3 × 5 × 2689, so it is divisible by 3.
What are the factors of 40335?
1, 3, 5, 15, 2689, 8067, 13445, 40335.
What is 40335 in binary?
1001110110001111 (hexadecimal 9D8F, octal 116617).
What is the square root of 40335?
About 200.8358.
Is 40335 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40335?
40335 is a Harshad number: divisible by its digit sum 15.