The number 4420
4420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 17. Divisors (24): 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170 … 4420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4420: a Harshad number: divisible by its digit sum 10.
- 2
4420 is composite. Its prime factorisation is
- 3
The divisors add up to 10584; without 4420 itself that is 6164, so 4420 is abundant (6164 is more than 4420). Euler's totient φ(4420) = 1536 numbers up to 4420 share no factor with it.
- 4
The digits of 4420 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4420 = 2^{2} \times 5 \times 13 \times 17 \]4420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 10584 |
| Euler totient φ(n) | 1536 |
| Square | 19536400 |
| Cube | 86350888000 |
| Square root | 66.483081 (= 2√1105) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.42 × |
4420 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and twenty |
| Binary (base 2) | 1000101000100 |
| Octal (base 8) | 10504 |
| Hexadecimal (base 16) | 1144 |
| Base 3 | 20001201 |
| As time | 4420 seconds = 1 h 13 min 40 s |
Is 4420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4420 ÷ 2 = 2210) | 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 (4420 ÷ 4 = 1105) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4420 ÷ 5 = 884) | 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 3) | 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 | Yes (4420 ÷ 10 = 442) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 4420 a prime number?
No. 4420 = × 5 × 13 × 17, so it is divisible by 2.
What are the factors of 4420?
1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420.
What is 4420 in binary?
1000101000100 (hexadecimal 1144, octal 10504).
What is the square root of 4420?
About 66.4831, exactly 2√1105.
Is 4420 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4420?
4420 is a Harshad number: divisible by its digit sum 10.