The number 5170
5170 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 47. Divisors (16): 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5170 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5170 is composite. Its prime factorisation is
- 3
The divisors add up to 10368; without 5170 itself that is 5198, so 5170 is abundant (5198 is more than 5170). Euler's totient φ(5170) = 1840 numbers up to 5170 share no factor with it.
- 4
The digits of 5170 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5170 = 2 \times 5 \times 11 \times 47 \]
5170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10368 |
| Euler totient φ(n) | 1840 |
| Square | 26728900 |
| Cube | 138188413000 |
| Square root | 71.902712 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.17 × |
5170 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and seventy |
| Binary (base 2) | 1010000110010 |
| Octal (base 8) | 12062 |
| Hexadecimal (base 16) | 1432 |
| Base 3 | 21002111 |
| As time | 5170 seconds = 1 h 26 min 10 s |
Is 5170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5170 ÷ 2 = 2585) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5170 ÷ 5 = 1034) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5170 ÷ 10 = 517) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5170 ÷ 11 = 470) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5170 a prime number?
No. 5170 = 2 × 5 × 11 × 47, so it is divisible by 2.
What are the factors of 5170?
1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170.
What is 5170 in binary?
1010000110010 (hexadecimal 1432, octal 12062).
What is the square root of 5170?
About 71.9027.
Is 5170 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5170?
It is a composite number with 16 divisors.