The number 17960
17960 is a composite number with 16 divisors. Its prime factorisation is × 5 × 449. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 449, 898, 1796, 2245, 3592, 4490, 8980, 17960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17960: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17960 is composite. Its prime factorisation is
- 3
The divisors add up to 40500; without 17960 itself that is 22540, so 17960 is abundant (22540 is more than 17960). Euler's totient φ(17960) = 7168 numbers up to 17960 share no factor with it.
- 4
The digits of 17960 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17960 = 2^{3} \times 5 \times 449 \]17960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 40500 |
| Euler totient φ(n) | 7168 |
| Square | 322561600 |
| Cube | 5793206336000 |
| Square root | 134.014925 (= 2√4490) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.796 × |
17960 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and sixty |
| Binary (base 2) | 100011000101000 |
| Octal (base 8) | 43050 |
| Hexadecimal (base 16) | 4628 |
| Base 3 | 220122012 |
| As time | 17960 seconds = 4 h 59 min 20 s |
Is 17960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17960 ÷ 2 = 8980) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17960 ÷ 4 = 4490) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17960 ÷ 5 = 3592) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (17960 ÷ 8 = 2245) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17960 ÷ 10 = 1796) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17960 a prime number?
No. 17960 = × 5 × 449, so it is divisible by 2.
What are the factors of 17960?
1, 2, 4, 5, 8, 10, 20, 40, 449, 898, 1796, 2245, 3592, 4490, 8980, 17960.
What is 17960 in binary?
100011000101000 (hexadecimal 4628, octal 43050).
What is the square root of 17960?
About 134.0149, exactly 2√4490.
Is 17960 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 17960?
17960 is a happy number: repeatedly adding the squares of its digits reaches 1.