The number 4408
4408 is a composite number with 16 divisors. Its prime factorisation is × 19 × 29. Divisors (16): 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4408 is composite. Its prime factorisation is
- 3
The divisors add up to 9000; without 4408 itself that is 4592, so 4408 is abundant (4592 is more than 4408). Euler's totient φ(4408) = 2016 numbers up to 4408 share no factor with it.
- 4
The digits of 4408 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4408 = 2^{3} \times 19 \times 29 \]4408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9000 |
| Euler totient φ(n) | 2016 |
| Square | 19430464 |
| Cube | 85649485312 |
| Square root | 66.392771 (= 2√1102) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.408 × |
4408 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and eight |
| Binary (base 2) | 1000100111000 |
| Octal (base 8) | 10470 |
| Hexadecimal (base 16) | 1138 |
| Base 3 | 20001021 |
| As time | 4408 seconds = 1 h 13 min 28 s |
Is 4408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4408 ÷ 2 = 2204) | 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 (4408 ÷ 4 = 1102) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | Yes (4408 ÷ 8 = 551) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4408 a prime number?
No. 4408 = × 19 × 29, so it is divisible by 2.
What are the factors of 4408?
1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408.
What is 4408 in binary?
1000100111000 (hexadecimal 1138, octal 10470).
What is the square root of 4408?
About 66.3928, exactly 2√1102.
Is 4408 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4408?
It is a composite number with 16 divisors.