The number 4712
4712 is a composite number with 16 divisors. Its prime factorisation is × 19 × 31. Divisors (16): 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4712: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4712 is composite. Its prime factorisation is
- 3
The divisors add up to 9600; without 4712 itself that is 4888, so 4712 is abundant (4888 is more than 4712). Euler's totient φ(4712) = 2160 numbers up to 4712 share no factor with it.
- 4
The digits of 4712 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4712 = 2^{3} \times 19 \times 31 \]4712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9600 |
| Euler totient φ(n) | 2160 |
| Square | 22202944 |
| Cube | 104620272128 |
| Square root | 68.644009 (= 2√1178) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.712 × |
4712 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and twelve |
| Binary (base 2) | 1001001101000 |
| Octal (base 8) | 11150 |
| Hexadecimal (base 16) | 1268 |
| Base 3 | 20110112 |
| As time | 4712 seconds = 1 h 18 min 32 s |
Is 4712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4712 ÷ 2 = 2356) | 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 (4712 ÷ 4 = 1178) | 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 2) | 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 | Yes (4712 ÷ 8 = 589) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 4712 a prime number?
No. 4712 = × 19 × 31, so it is divisible by 2.
What are the factors of 4712?
1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712.
What is 4712 in binary?
1001001101000 (hexadecimal 1268, octal 11150).
What is the square root of 4712?
About 68.6440, exactly 2√1178.
Is 4712 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4712?
4712 is a happy number: repeatedly adding the squares of its digits reaches 1.