The number 17040
17040 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 71. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 17040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17040: a Harshad number: divisible by its digit sum 12.
- 2
17040 is composite. Its prime factorisation is
- 3
The divisors add up to 53568; without 17040 itself that is 36528, so 17040 is abundant (36528 is more than 17040). Euler's totient φ(17040) = 4480 numbers up to 17040 share no factor with it.
- 4
The digits of 17040 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17040 = 2^{4} \times 3 \times 5 \times 71 \]17040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 53568 |
| Euler totient φ(n) | 4480 |
| Square | 290361600 |
| Cube | 4947761664000 |
| Square root | 130.537351 (= 4√1065) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.704 × |
17040 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and forty |
| Binary (base 2) | 100001010010000 |
| Octal (base 8) | 41220 |
| Hexadecimal (base 16) | 4290 |
| Base 3 | 212101010 |
| As time | 17040 seconds = 4 h 44 min 0 s |
Is 17040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17040 ÷ 2 = 8520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17040 ÷ 3 = 5680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17040 ÷ 4 = 4260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17040 ÷ 5 = 3408) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17040 ÷ 6 = 2840) | 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 | Yes (17040 ÷ 8 = 2130) | 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 (17040 ÷ 10 = 1704) | 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 | Yes (17040 ÷ 12 = 1420) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17040 a prime number?
No. 17040 = × 3 × 5 × 71, so it is divisible by 2.
What are the factors of 17040?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 71, 80, 120, 142, 213, 240, 284, 355, 426, 568, 710, 852, 1065, 1136, 1420, 1704, 2130, 2840, 3408, 4260, 5680, 8520, 17040.
What is 17040 in binary?
100001010010000 (hexadecimal 4290, octal 41220).
What is the square root of 17040?
About 130.5374, exactly 4√1065.
Is 17040 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 17040?
17040 is a Harshad number: divisible by its digit sum 12.