The number 4401
4401 is a composite number with 8 divisors. Its prime factorisation is × 163. Divisors (8): 1, 3, 9, 27, 163, 489, 1467, 4401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4401: a Harshad number: divisible by its digit sum 9.
- 2
4401 is composite. Its prime factorisation is
- 3
The divisors add up to 6560; without 4401 itself that is 2159, so 4401 is deficient (2159 is less than 4401). Euler's totient φ(4401) = 2916 numbers up to 4401 share no factor with it.
- 4
The digits of 4401 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4401 = 3^{3} \times 163 \]4401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6560 |
| Euler totient φ(n) | 2916 |
| Square | 19368801 |
| Cube | 85242093201 |
| Square root | 66.340033 (= 3√489) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 4.401 × |
4401 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and one |
| Binary (base 2) | 1000100110001 |
| Octal (base 8) | 10461 |
| Hexadecimal (base 16) | 1131 |
| Base 3 | 20001000 |
| As time | 4401 seconds = 1 h 13 min 21 s |
Is 4401 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4401 ÷ 3 = 1467) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4401 ÷ 9 = 489) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4401 a prime number?
No. 4401 = × 163, so it is divisible by 3.
What are the factors of 4401?
1, 3, 9, 27, 163, 489, 1467, 4401.
What is 4401 in binary?
1000100110001 (hexadecimal 1131, octal 10461).
What is the square root of 4401?
About 66.3400, exactly 3√489.
Is 4401 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4401?
4401 is a Harshad number: divisible by its digit sum 9.