The number 174
174 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 29. Divisors (8): 1, 2, 3, 6, 29, 58, 87, 174.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
174 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
174 is composite. Its prime factorisation is
- 3
The divisors add up to 360; without 174 itself that is 186, so 174 is abundant (186 is more than 174). Euler's totient φ(174) = 56 numbers up to 174 share no factor with it.
- 4
The digits of 174 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 174 = 2 \times 3 \times 29 \]
174 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 360 |
| Euler totient φ(n) | 56 |
| Square | 30276 |
| Cube | 5268024 |
| Square root | 13.190906 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.74 × |
174 in other forms
| Form | Value |
|---|---|
| In words | one hundred and seventy-four |
| Roman numerals | CLXXIV |
| Binary (base 2) | 10101110 |
| Octal (base 8) | 256 |
| Hexadecimal (base 16) | AE |
| Base 3 | 20110 |
| As time | 174 seconds = 2 min 54 s |
Is 174 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (174 ÷ 2 = 87) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (174 ÷ 3 = 58) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (174 ÷ 6 = 29) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 174 a prime number?
No. 174 = 2 × 3 × 29, so it is divisible by 2.
What are the factors of 174?
1, 2, 3, 6, 29, 58, 87, 174.
What is 174 in binary?
10101110 (hexadecimal AE, octal 256).
What is the square root of 174?
About 13.1909.
What is 174 in Roman numerals?
CLXXIV.
Is 174 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 174?
It is a composite number with 8 divisors.