The number 3190
3190 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 29. Divisors (16): 1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3190: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3190 is composite. Its prime factorisation is
- 3
The divisors add up to 6480; without 3190 itself that is 3290, so 3190 is abundant (3290 is more than 3190). Euler's totient φ(3190) = 1120 numbers up to 3190 share no factor with it.
- 4
The digits of 3190 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 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3190 = 2 \times 5 \times 11 \times 29 \]
3190 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6480 |
| Euler totient φ(n) | 1120 |
| Square | 10176100 |
| Cube | 32461759000 |
| Square root | 56.480085 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.19 × |
3190 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and ninety |
| Roman numerals | MMMCXC |
| Binary (base 2) | 110001110110 |
| Octal (base 8) | 6166 |
| Hexadecimal (base 16) | C76 |
| Base 3 | 11101011 |
| As time | 3190 seconds = 53 min 10 s |
Is 3190 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3190 ÷ 2 = 1595) | 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 (3190 ÷ 5 = 638) | 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 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 | No (remainder 6) | 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 (3190 ÷ 10 = 319) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3190 ÷ 11 = 290) | 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 3190 a prime number?
No. 3190 = 2 × 5 × 11 × 29, so it is divisible by 2.
What are the factors of 3190?
1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190.
What is 3190 in binary?
110001110110 (hexadecimal C76, octal 6166).
What is the square root of 3190?
About 56.4801.
What is 3190 in Roman numerals?
MMMCXC.
Is 3190 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3190?
3190 is a happy number: repeatedly adding the squares of its digits reaches 1.