The number 3164
3164 is a composite number with 12 divisors. Its prime factorisation is × 7 × 113. Divisors (12): 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3164: a Harshad number: divisible by its digit sum 14.
- 2
3164 is composite. Its prime factorisation is
- 3
The divisors add up to 6384; without 3164 itself that is 3220, so 3164 is abundant (3220 is more than 3164). Euler's totient φ(3164) = 1344 numbers up to 3164 share no factor with it.
- 4
The digits of 3164 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3164 = 2^{2} \times 7 \times 113 \]3164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6384 |
| Euler totient φ(n) | 1344 |
| Square | 10010896 |
| Cube | 31674474944 |
| Square root | 56.249444 (= 2√791) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 79 |
| Scientific notation | 3.164 × |
3164 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and sixty-four |
| Roman numerals | MMMCLXIV |
| Binary (base 2) | 110001011100 |
| Octal (base 8) | 6134 |
| Hexadecimal (base 16) | C5C |
| Base 3 | 11100012 |
| As time | 3164 seconds = 52 min 44 s |
Is 3164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3164 ÷ 2 = 1582) | 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 (3164 ÷ 4 = 791) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (3164 ÷ 7 = 452) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 3164 a prime number?
No. 3164 = × 7 × 113, so it is divisible by 2.
What are the factors of 3164?
1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164.
What is 3164 in binary?
110001011100 (hexadecimal C5C, octal 6134).
What is the square root of 3164?
About 56.2494, exactly 2√791.
What is 3164 in Roman numerals?
MMMCLXIV.
Is 3164 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3164?
3164 is a Harshad number: divisible by its digit sum 14.