The number 4380
4380 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 73. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292 … 4380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4380: a Harshad number: divisible by its digit sum 15.
- 2
4380 is composite. Its prime factorisation is
- 3
The divisors add up to 12432; without 4380 itself that is 8052, so 4380 is abundant (8052 is more than 4380). Euler's totient φ(4380) = 1152 numbers up to 4380 share no factor with it.
- 4
The digits of 4380 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4380 = 2^{2} \times 3 \times 5 \times 73 \]4380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 12432 |
| Euler totient φ(n) | 1152 |
| Square | 19184400 |
| Cube | 84027672000 |
| Square root | 66.181568 (= 2√1095) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.38 × |
4380 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and eighty |
| Binary (base 2) | 1000100011100 |
| Octal (base 8) | 10434 |
| Hexadecimal (base 16) | 111C |
| Base 3 | 20000020 |
| As time | 4380 seconds = 1 h 13 min 0 s |
Is 4380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4380 ÷ 2 = 2190) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4380 ÷ 3 = 1460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4380 ÷ 4 = 1095) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4380 ÷ 5 = 876) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4380 ÷ 6 = 730) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4380 ÷ 10 = 438) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4380 ÷ 12 = 365) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4380 a prime number?
No. 4380 = × 3 × 5 × 73, so it is divisible by 2.
What are the factors of 4380?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380.
What is 4380 in binary?
1000100011100 (hexadecimal 111C, octal 10434).
What is the square root of 4380?
About 66.1816, exactly 2√1095.
Is 4380 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4380?
4380 is a Harshad number: divisible by its digit sum 15.