The number 3159
3159 is a composite number with 12 divisors. Its prime factorisation is × 13. Divisors (12): 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3159 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3159 is composite. Its prime factorisation is
- 3
The divisors add up to 5096; without 3159 itself that is 1937, so 3159 is deficient (1937 is less than 3159). Euler's totient φ(3159) = 1944 numbers up to 3159 share no factor with it.
- 4
The digits of 3159 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3159 = 3^{5} \times 13 \]3159 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5096 |
| Euler totient φ(n) | 1944 |
| Square | 9979281 |
| Cube | 31524548679 |
| Square root | 56.204982 (= 9√39) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.159 × |
3159 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and fifty-nine |
| Roman numerals | MMMCLIX |
| Binary (base 2) | 110001010111 |
| Octal (base 8) | 6127 |
| Hexadecimal (base 16) | C57 |
| Base 3 | 11100000 |
| As time | 3159 seconds = 52 min 39 s |
Is 3159 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3159 ÷ 3 = 1053) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3159 ÷ 9 = 351) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3159 a prime number?
No. 3159 = × 13, so it is divisible by 3.
What are the factors of 3159?
1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159.
What is 3159 in binary?
110001010111 (hexadecimal C57, octal 6127).
What is the square root of 3159?
About 56.2050, exactly 9√39.
What is 3159 in Roman numerals?
MMMCLIX.
Is 3159 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3159?
It is a composite number with 12 divisors.