The number 4707
4707 is a composite number with 6 divisors. Its prime factorisation is × 523. Divisors (6): 1, 3, 9, 523, 1569, 4707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4707 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4707 is composite. Its prime factorisation is
- 3
The divisors add up to 6812; without 4707 itself that is 2105, so 4707 is deficient (2105 is less than 4707). Euler's totient φ(4707) = 3132 numbers up to 4707 share no factor with it.
- 4
The digits of 4707 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4707 = 3^{2} \times 523 \]4707 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6812 |
| Euler totient φ(n) | 3132 |
| Square | 22155849 |
| Cube | 104287581243 |
| Square root | 68.607580 (= 3√523) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.707 × |
4707 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and seven |
| Binary (base 2) | 1001001100011 |
| Octal (base 8) | 11143 |
| Hexadecimal (base 16) | 1263 |
| Base 3 | 20110100 |
| As time | 4707 seconds = 1 h 18 min 27 s |
Is 4707 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 (4707 ÷ 3 = 1569) | 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 | 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 | Yes (4707 ÷ 9 = 523) | 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 10) | 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 4707 a prime number?
No. 4707 = × 523, so it is divisible by 3.
What are the factors of 4707?
1, 3, 9, 523, 1569, 4707.
What is 4707 in binary?
1001001100011 (hexadecimal 1263, octal 11143).
What is the square root of 4707?
About 68.6076, exactly 3√523.
Is 4707 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4707?
It is a composite number with 6 divisors.