The number 4680
4680 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 13. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26 … 4680.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4680: a Harshad number: divisible by its digit sum 18.
- 2
4680 is composite. Its prime factorisation is
- 3
The divisors add up to 16380; without 4680 itself that is 11700, so 4680 is abundant (11700 is more than 4680). Euler's totient φ(4680) = 1152 numbers up to 4680 share no factor with it.
- 4
The digits of 4680 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
\[ 4680 = 2^{3} \times 3^{2} \times 5 \times 13 \]4680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 16380 |
| Euler totient φ(n) | 1152 |
| Square | 21902400 |
| Cube | 102503232000 |
| Square root | 68.410526 (= 6√130) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.68 × |
4680 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and eighty |
| Binary (base 2) | 1001001001000 |
| Octal (base 8) | 11110 |
| Hexadecimal (base 16) | 1248 |
| Base 3 | 20102100 |
| As time | 4680 seconds = 1 h 18 min 0 s |
Is 4680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4680 ÷ 2 = 2340) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4680 ÷ 3 = 1560) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4680 ÷ 4 = 1170) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4680 ÷ 5 = 936) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4680 ÷ 6 = 780) | 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 | Yes (4680 ÷ 8 = 585) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4680 ÷ 9 = 520) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4680 ÷ 10 = 468) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4680 ÷ 12 = 390) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4680 a prime number?
No. 4680 = × × 5 × 13, so it is divisible by 2.
What are the factors of 4680?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680.
What is 4680 in binary?
1001001001000 (hexadecimal 1248, octal 11110).
What is the square root of 4680?
About 68.4105, exactly 6√130.
Is 4680 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4680?
4680 is a Harshad number: divisible by its digit sum 18.