The number 3170
3170 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 317. Divisors (8): 1, 2, 5, 10, 317, 634, 1585, 3170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3170 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3170 is composite. Its prime factorisation is
- 3
The divisors add up to 5724; without 3170 itself that is 2554, so 3170 is deficient (2554 is less than 3170). Euler's totient φ(3170) = 1264 numbers up to 3170 share no factor with it.
- 4
The digits of 3170 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3170 = 2 \times 5 \times 317 \]
3170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5724 |
| Euler totient φ(n) | 1264 |
| Square | 10048900 |
| Cube | 31855013000 |
| Square root | 56.302753 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 79 |
| Scientific notation | 3.17 × |
3170 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and seventy |
| Roman numerals | MMMCLXX |
| Binary (base 2) | 110001100010 |
| Octal (base 8) | 6142 |
| Hexadecimal (base 16) | C62 |
| Base 3 | 11100102 |
| As time | 3170 seconds = 52 min 50 s |
Is 3170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3170 ÷ 2 = 1585) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3170 ÷ 5 = 634) | 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 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 2) | 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 (3170 ÷ 10 = 317) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3170 a prime number?
No. 3170 = 2 × 5 × 317, so it is divisible by 2.
What are the factors of 3170?
1, 2, 5, 10, 317, 634, 1585, 3170.
What is 3170 in binary?
110001100010 (hexadecimal C62, octal 6142).
What is the square root of 3170?
About 56.3028.
What is 3170 in Roman numerals?
MMMCLXX.
Is 3170 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3170?
It is a composite number with 8 divisors.