The number 179
179 is a twin prime (179 and 181 are both prime) and the 41st prime number. Its only divisors are 1 and 179.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 179: a twin prime (179 and 181 are both prime); the 41st prime number.
- 2
179 is prime, so its only factors are 1 and 179. It is the 41st prime; the next prime is 181 and the one before is 173.
- 3
The divisors add up to 180; without 179 itself that is 1, so 179 is deficient (1 is less than 179). Euler's totient φ(179) = 178 numbers up to 179 share no factor with it.
- 4
The digits of 179 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
179 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 180 |
| Euler totient φ(n) | 178 |
| Square | 32041 |
| Cube | 5735339 |
| Square root | 13.379088 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.79 × |
179 in other forms
| Form | Value |
|---|---|
| In words | one hundred and seventy-nine |
| Roman numerals | CLXXIX |
| Binary (base 2) | 10110011 |
| Octal (base 8) | 263 |
| Hexadecimal (base 16) | B3 |
| Base 3 | 20122 |
| As time | 179 seconds = 2 min 59 s |
Is 179 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 179 a prime number?
Yes. 179 is divisible only by 1 and itself.
What are the factors of 179?
1, 179.
What is 179 in binary?
10110011 (hexadecimal B3, octal 263).
What is the square root of 179?
About 13.3791.
What is 179 in Roman numerals?
CLXXIX.
Is 179 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 179?
179 is a twin prime (179 and 181 are both prime); the 41st prime number.