The number 159
159 is a composite number with 4 divisors. Its prime factorisation is 3 × 53. Divisors (4): 1, 3, 53, 159.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 159: a semiprime: 3 × 53, the product of two primes.
- 2
159 is composite. Its prime factorisation is
- 3
The divisors add up to 216; without 159 itself that is 57, so 159 is deficient (57 is less than 159). Euler's totient φ(159) = 104 numbers up to 159 share no factor with it.
- 4
The digits of 159 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 159 = 3 \times 53 \]
159 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 216 |
| Euler totient φ(n) | 104 |
| Square | 25281 |
| Cube | 4019679 |
| Square root | 12.609520 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 1.59 × |
159 in other forms
| Form | Value |
|---|---|
| In words | one hundred and fifty-nine |
| Roman numerals | CLIX |
| Binary (base 2) | 10011111 |
| Octal (base 8) | 237 |
| Hexadecimal (base 16) | 9F |
| Base 3 | 12220 |
| As time | 159 seconds = 2 min 39 s |
Is 159 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 (159 ÷ 3 = 53) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | 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 159 a prime number?
No. 159 = 3 × 53, so it is divisible by 3.
What are the factors of 159?
1, 3, 53, 159.
What is 159 in binary?
10011111 (hexadecimal 9F, octal 237).
What is the square root of 159?
About 12.6095.
What is 159 in Roman numerals?
CLIX.
Is 159 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 159?
159 is a semiprime: 3 × 53, the product of two primes.