The number 4147
4147 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 29. Divisors (8): 1, 11, 13, 29, 143, 319, 377, 4147.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4147: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4147 is composite. Its prime factorisation is
- 3
The divisors add up to 5040; without 4147 itself that is 893, so 4147 is deficient (893 is less than 4147). Euler's totient φ(4147) = 3360 numbers up to 4147 share no factor with it.
- 4
The digits of 4147 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4147 = 11 \times 13 \times 29 \]
4147 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5040 |
| Euler totient φ(n) | 3360 |
| Square | 17197609 |
| Cube | 71318484523 |
| Square root | 64.397205 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.147 × |
4147 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and forty-seven |
| Binary (base 2) | 1000000110011 |
| Octal (base 8) | 10063 |
| Hexadecimal (base 16) | 1033 |
| Base 3 | 12200121 |
| As time | 4147 seconds = 1 h 9 min 7 s |
Is 4147 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 | Yes (4147 ÷ 11 = 377) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4147 a prime number?
No. 4147 = 11 × 13 × 29, so it is divisible by 11.
What are the factors of 4147?
1, 11, 13, 29, 143, 319, 377, 4147.
What is 4147 in binary?
1000000110011 (hexadecimal 1033, octal 10063).
What is the square root of 4147?
About 64.3972.
Is 4147 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4147?
4147 is a happy number: repeatedly adding the squares of its digits reaches 1.