The number 4700
4700 is a composite number with 18 divisors. Its prime factorisation is × × 47. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175 … 4700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4700 is composite. Its prime factorisation is
- 3
The divisors add up to 10416; without 4700 itself that is 5716, so 4700 is abundant (5716 is more than 4700). Euler's totient φ(4700) = 1840 numbers up to 4700 share no factor with it.
- 4
The digits of 4700 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4700 = 2^{2} \times 5^{2} \times 47 \]4700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 10416 |
| Euler totient φ(n) | 1840 |
| Square | 22090000 |
| Cube | 103823000000 |
| Square root | 68.556546 (= 10√47) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.7 × |
4700 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred |
| Binary (base 2) | 1001001011100 |
| Octal (base 8) | 11134 |
| Hexadecimal (base 16) | 125C |
| Base 3 | 20110002 |
| As time | 4700 seconds = 1 h 18 min 20 s |
Is 4700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4700 ÷ 2 = 2350) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4700 ÷ 4 = 1175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4700 ÷ 5 = 940) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4700 ÷ 10 = 470) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4700 a prime number?
No. 4700 = × × 47, so it is divisible by 2.
What are the factors of 4700?
1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700.
What is 4700 in binary?
1001001011100 (hexadecimal 125C, octal 11134).
What is the square root of 4700?
About 68.5565, exactly 10√47.
Is 4700 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4700?
It is a composite number with 18 divisors.