The number 17480
17480 is a composite number with 32 divisors. Its prime factorisation is × 5 × 19 × 23. Divisors (32): 1, 2, 4, 5, 8, 10, 19, 20, 23, 38, 40, 46, 76, 92, 95, 115 … 17480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17480: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.
- 2
17480 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 17480 itself that is 25720, so 17480 is abundant (25720 is more than 17480). Euler's totient φ(17480) = 6336 numbers up to 17480 share no factor with it.
- 4
The digits of 17480 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17480 = 2^{3} \times 5 \times 19 \times 23 \]17480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 6336 |
| Square | 305550400 |
| Cube | 5341020992000 |
| Square root | 132.211951 (= 2√4370) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.748 × |
17480 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and eighty |
| Binary (base 2) | 100010001001000 |
| Octal (base 8) | 42110 |
| Hexadecimal (base 16) | 4448 |
| Base 3 | 212222102 |
| As time | 17480 seconds = 4 h 51 min 20 s |
Is 17480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17480 ÷ 2 = 8740) | 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 (17480 ÷ 4 = 4370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17480 ÷ 5 = 3496) | 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 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 | Yes (17480 ÷ 8 = 2185) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17480 ÷ 10 = 1748) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 17480 a prime number?
No. 17480 = × 5 × 19 × 23, so it is divisible by 2.
What are the factors of 17480?
1, 2, 4, 5, 8, 10, 19, 20, 23, 38, 40, 46, 76, 92, 95, 115, 152, 184, 190, 230, 380, 437, 460, 760, 874, 920, 1748, 2185, 3496, 4370, 8740, 17480.
What is 17480 in binary?
100010001001000 (hexadecimal 4448, octal 42110).
What is the square root of 17480?
About 132.2120, exactly 2√4370.
Is 17480 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 17480?
17480 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.