The number 147
147 is a composite number with 6 divisors. Its prime factorisation is 3 × . Divisors (6): 1, 3, 7, 21, 49, 147.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
147 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
147 is composite. Its prime factorisation is
- 3
The divisors add up to 228; without 147 itself that is 81, so 147 is deficient (81 is less than 147). Euler's totient φ(147) = 84 numbers up to 147 share no factor with it.
- 4
The digits of 147 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 147 = 3 \times 7^{2} \]147 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 228 |
| Euler totient φ(n) | 84 |
| Square | 21609 |
| Cube | 3176523 |
| Square root | 12.124356 (= 7√3) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 116 |
| Scientific notation | 1.47 × |
147 in other forms
| Form | Value |
|---|---|
| In words | one hundred and forty-seven |
| Roman numerals | CXLVII |
| Binary (base 2) | 10010011 |
| Octal (base 8) | 223 |
| Hexadecimal (base 16) | 93 |
| Base 3 | 12110 |
| As time | 147 seconds = 2 min 27 s |
Is 147 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 (147 ÷ 3 = 49) | 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 2) | 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 | Yes (147 ÷ 7 = 21) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 147 a prime number?
No. 147 = 3 × , so it is divisible by 3.
What are the factors of 147?
1, 3, 7, 21, 49, 147.
What is 147 in binary?
10010011 (hexadecimal 93, octal 223).
What is the square root of 147?
About 12.1244, exactly 7√3.
What is 147 in Roman numerals?
CXLVII.
Is 147 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 147?
It is a composite number with 6 divisors.