The number 4708
4708 is a composite number with 12 divisors. Its prime factorisation is × 11 × 107. Divisors (12): 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4708: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4708 is composite. Its prime factorisation is
- 3
The divisors add up to 9072; without 4708 itself that is 4364, so 4708 is deficient (4364 is less than 4708). Euler's totient φ(4708) = 2120 numbers up to 4708 share no factor with it.
- 4
The digits of 4708 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4708 = 2^{2} \times 11 \times 107 \]4708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9072 |
| Euler totient φ(n) | 2120 |
| Square | 22165264 |
| Cube | 104354062912 |
| Square root | 68.614867 (= 2√1177) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.708 × |
4708 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and eight |
| Binary (base 2) | 1001001100100 |
| Octal (base 8) | 11144 |
| Hexadecimal (base 16) | 1264 |
| Base 3 | 20110101 |
| As time | 4708 seconds = 1 h 18 min 28 s |
Is 4708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4708 ÷ 2 = 2354) | 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 | Yes (4708 ÷ 4 = 1177) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4708 ÷ 11 = 428) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4708 a prime number?
No. 4708 = × 11 × 107, so it is divisible by 2.
What are the factors of 4708?
1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708.
What is 4708 in binary?
1001001100100 (hexadecimal 1264, octal 11144).
What is the square root of 4708?
About 68.6149, exactly 2√1177.
Is 4708 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 4708?
4708 is a happy number: repeatedly adding the squares of its digits reaches 1.