Number reference
179 explained.
179: one hundred seventy-nine, prime; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- one hundred seventy-nine
- Classification
- prime
- Factors
- 1, 179
- Prime factorization
- 179
- Square root
- 13.379088
- Cube root
- 5.635741
- Binary
- 10110011
- Octal
- 263
- Hexadecimal
- B3
- Roman numeral
- CLXXIX
- Digit sum
- 17
- Digital root
- 8
What makes 179 notable
- Prime. 179 is prime: it has exactly two divisors, 1 and itself, so it cannot be split into equal whole-number groups any other way.
179 in everyday use
One hundred seventy-nine is a safe prime, since (179 − 1) ÷ 2 = 89 is prime; 89 is in turn a Fibonacci number, and 179 is the smaller of the twin primes 179 and 181. It is a full-reptend prime, so dividing one by it yields a repeating decimal with the longest possible period of 178 digits. It is also an emirp, because its reversal 971 is prime. All of these are properties that recreational mathematicians check first when a new prime comes up.
With 181 it forms the thirteenth twin-prime pair, counting from 3 and 5. In everyday terms the number has a small presence in retail, where prices such as 1.79 sit just below a round figure. It is the 41st prime. Its digit sum is 17, itself prime, and 179 lies one short of 180, the number of degrees in a straight angle, so a turn of 179 degrees falls just shy of reversing direction.
Nearby numbers
How to read this page
Because 179 is prime, the factor list stops at 1 and 179 itself, so it cannot be shared into equal whole-number groups. That is also what makes it useful as a building block: every larger number with 179 in its prime factorisation inherits it from here.
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