The number 4402
4402 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 71. Divisors (8): 1, 2, 31, 62, 71, 142, 2201, 4402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4402 is composite. Its prime factorisation is
- 3
The divisors add up to 6912; without 4402 itself that is 2510, so 4402 is deficient (2510 is less than 4402). Euler's totient φ(4402) = 2100 numbers up to 4402 share no factor with it.
- 4
The digits of 4402 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4402 = 2 \times 31 \times 71 \]
4402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6912 |
| Euler totient φ(n) | 2100 |
| Square | 19377604 |
| Cube | 85300212808 |
| Square root | 66.347570 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 139 |
| Scientific notation | 4.402 × |
4402 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and two |
| Binary (base 2) | 1000100110010 |
| Octal (base 8) | 10462 |
| Hexadecimal (base 16) | 1132 |
| Base 3 | 20001001 |
| As time | 4402 seconds = 1 h 13 min 22 s |
Is 4402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4402 ÷ 2 = 2201) | 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 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 | No (remainder 2) | 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 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4402 a prime number?
No. 4402 = 2 × 31 × 71, so it is divisible by 2.
What are the factors of 4402?
1, 2, 31, 62, 71, 142, 2201, 4402.
What is 4402 in binary?
1000100110010 (hexadecimal 1132, octal 10462).
What is the square root of 4402?
About 66.3476.
Is 4402 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4402?
It is a composite number with 8 divisors.