The number 35940
35940 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 599. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 599, 1198, 1797, 2396 … 35940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35940 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 35940 itself that is 64860, so 35940 is abundant (64860 is more than 35940). Euler's totient φ(35940) = 9568 numbers up to 35940 share no factor with it.
- 4
The digits of 35940 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 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35940 = 2^{2} \times 3 \times 5 \times 599 \]35940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 9568 |
| Square | 1291683600 |
| Cube | 46423108584000 |
| Square root | 189.578480 (= 2√8985) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.594 × |
35940 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and forty |
| Binary (base 2) | 1000110001100100 |
| Octal (base 8) | 106144 |
| Hexadecimal (base 16) | 8C64 |
| Base 3 | 1211022010 |
| As time | 35940 seconds = 9 h 59 min 0 s |
Is 35940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35940 ÷ 2 = 17970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35940 ÷ 3 = 11980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35940 ÷ 4 = 8985) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35940 ÷ 5 = 7188) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35940 ÷ 6 = 5990) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 | Yes (35940 ÷ 10 = 3594) | 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 | Yes (35940 ÷ 12 = 2995) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35940 a prime number?
No. 35940 = × 3 × 5 × 599, so it is divisible by 2.
What are the factors of 35940?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 599, 1198, 1797, 2396, 2995, 3594, 5990, 7188, 8985, 11980, 17970, 35940.
What is 35940 in binary?
1000110001100100 (hexadecimal 8C64, octal 106144).
What is the square root of 35940?
About 189.5785, exactly 2√8985.
Is 35940 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 35940?
It is a composite number with 24 divisors.