The number 17940
17940 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 13 × 23. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 23, 26, 30, 39, 46 … 17940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17940 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 17940 itself that is 38508, so 17940 is abundant (38508 is more than 17940). Euler's totient φ(17940) = 4224 numbers up to 17940 share no factor with it.
- 4
The digits of 17940 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17940 = 2^{2} \times 3 \times 5 \times 13 \times 23 \]17940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 4224 |
| Square | 321843600 |
| Cube | 5773874184000 |
| Square root | 133.940285 (= 2√4485) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.794 × |
17940 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and forty |
| Binary (base 2) | 100011000010100 |
| Octal (base 8) | 43024 |
| Hexadecimal (base 16) | 4614 |
| Base 3 | 220121110 |
| As time | 17940 seconds = 4 h 59 min 0 s |
Is 17940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17940 ÷ 2 = 8970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17940 ÷ 3 = 5980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17940 ÷ 4 = 4485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17940 ÷ 5 = 3588) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17940 ÷ 6 = 2990) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (17940 ÷ 10 = 1794) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (17940 ÷ 12 = 1495) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17940 a prime number?
No. 17940 = × 3 × 5 × 13 × 23, so it is divisible by 2.
What are the factors of 17940?
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 23, 26, 30, 39, 46, 52, 60, 65, 69, 78, 92, 115, 130, 138, 156, 195, 230, 260, 276, 299, 345, 390, 460, 598, 690, 780, 897, 1196, 1380, 1495, 1794, 2990, 3588, 4485, 5980, 8970, 17940.
What is 17940 in binary?
100011000010100 (hexadecimal 4614, octal 43024).
What is the square root of 17940?
About 133.9403, exactly 2√4485.
Is 17940 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 17940?
It is a composite number with 48 divisors.