The number 4747
4747 is a composite number with 4 divisors. Its prime factorisation is 47 × 101. Divisors (4): 1, 47, 101, 4747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4747: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 101, the product of two primes.
- 2
4747 is composite. Its prime factorisation is
- 3
The divisors add up to 4896; without 4747 itself that is 149, so 4747 is deficient (149 is less than 4747). Euler's totient φ(4747) = 4600 numbers up to 4747 share no factor with it.
- 4
The digits of 4747 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4747 = 47 \times 101 \]
4747 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4896 |
| Euler totient φ(n) | 4600 |
| Square | 22534009 |
| Cube | 106968940723 |
| Square root | 68.898476 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 152 |
| Scientific notation | 4.747 × |
4747 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and forty-seven |
| Binary (base 2) | 1001010001011 |
| Octal (base 8) | 11213 |
| Hexadecimal (base 16) | 128B |
| Base 3 | 20111211 |
| As time | 4747 seconds = 1 h 19 min 7 s |
Is 4747 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 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | 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 4747 a prime number?
No. 4747 = 47 × 101, so it is divisible by 47.
What are the factors of 4747?
1, 47, 101, 4747.
What is 4747 in binary?
1001010001011 (hexadecimal 128B, octal 11213).
What is the square root of 4747?
About 68.8985.
Is 4747 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 4747?
4747 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 101, the product of two primes.