The number 4716
4716 is a composite number with 18 divisors. Its prime factorisation is × × 131. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572 … 4716.
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How to work it out
- 1
What is special about 4716: a Harshad number: divisible by its digit sum 18.
- 2
4716 is composite. Its prime factorisation is
- 3
The divisors add up to 12012; without 4716 itself that is 7296, so 4716 is abundant (7296 is more than 4716). Euler's totient φ(4716) = 1560 numbers up to 4716 share no factor with it.
- 4
The digits of 4716 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4716 = 2^{2} \times 3^{2} \times 131 \]4716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 12012 |
| Euler totient φ(n) | 1560 |
| Square | 22240656 |
| Cube | 104886933696 |
| Square root | 68.673139 (= 6√131) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.716 × |
4716 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and sixteen |
| Binary (base 2) | 1001001101100 |
| Octal (base 8) | 11154 |
| Hexadecimal (base 16) | 126C |
| Base 3 | 20110200 |
| As time | 4716 seconds = 1 h 18 min 36 s |
Is 4716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4716 ÷ 2 = 2358) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4716 ÷ 3 = 1572) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4716 ÷ 4 = 1179) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4716 ÷ 6 = 786) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (4716 ÷ 9 = 524) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4716 ÷ 12 = 393) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4716 a prime number?
No. 4716 = × × 131, so it is divisible by 2.
What are the factors of 4716?
1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716.
What is 4716 in binary?
1001001101100 (hexadecimal 126C, octal 11154).
What is the square root of 4716?
About 68.6731, exactly 6√131.
Is 4716 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4716?
4716 is a Harshad number: divisible by its digit sum 18.