The number 4407
4407 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 113. Divisors (8): 1, 3, 13, 39, 113, 339, 1469, 4407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4407 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4407 is composite. Its prime factorisation is
- 3
The divisors add up to 6384; without 4407 itself that is 1977, so 4407 is deficient (1977 is less than 4407). Euler's totient φ(4407) = 2688 numbers up to 4407 share no factor with it.
- 4
The digits of 4407 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4407 = 3 \times 13 \times 113 \]
4407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6384 |
| Euler totient φ(n) | 2688 |
| Square | 19421649 |
| Cube | 85591207143 |
| Square root | 66.385239 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 51 |
| Scientific notation | 4.407 × |
4407 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and seven |
| Binary (base 2) | 1000100110111 |
| Octal (base 8) | 10467 |
| Hexadecimal (base 16) | 1137 |
| Base 3 | 20001020 |
| As time | 4407 seconds = 1 h 13 min 27 s |
Is 4407 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 (4407 ÷ 3 = 1469) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | No (remainder 7) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4407 a prime number?
No. 4407 = 3 × 13 × 113, so it is divisible by 3.
What are the factors of 4407?
1, 3, 13, 39, 113, 339, 1469, 4407.
What is 4407 in binary?
1000100110111 (hexadecimal 1137, octal 10467).
What is the square root of 4407?
About 66.3852.
Is 4407 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4407?
It is a composite number with 8 divisors.