The number 176
176 is a composite number with 10 divisors. Its prime factorisation is × 11. Divisors (10): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 176: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
176 is composite. Its prime factorisation is
- 3
The divisors add up to 372; without 176 itself that is 196, so 176 is abundant (196 is more than 176). Euler's totient φ(176) = 80 numbers up to 176 share no factor with it.
- 4
The digits of 176 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 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 176 = 2^{4} \times 11 \]176 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 372 |
| Euler totient φ(n) | 80 |
| Square | 30976 |
| Cube | 5451776 |
| Square root | 13.266499 (= 4√11) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 18 |
| Scientific notation | 1.76 × |
176 in other forms
| Form | Value |
|---|---|
| In words | one hundred and seventy-six |
| Roman numerals | CLXXVI |
| Binary (base 2) | 10110000 |
| Octal (base 8) | 260 |
| Hexadecimal (base 16) | B0 |
| Base 3 | 20112 |
| As time | 176 seconds = 2 min 56 s |
Is 176 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (176 ÷ 2 = 88) | 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 (176 ÷ 4 = 44) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | No (remainder 1) | 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 | Yes (176 ÷ 8 = 22) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (176 ÷ 11 = 16) | 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 176 a prime number?
No. 176 = × 11, so it is divisible by 2.
What are the factors of 176?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176.
What is 176 in binary?
10110000 (hexadecimal B0, octal 260).
What is the square root of 176?
About 13.2665, exactly 4√11.
What is 176 in Roman numerals?
CLXXVI.
Is 176 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 176?
176 is a happy number: repeatedly adding the squares of its digits reaches 1.