The number 4364
4364 is a composite number with 6 divisors. Its prime factorisation is × 1091. Divisors (6): 1, 2, 4, 1091, 2182, 4364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4364 is composite. Its prime factorisation is
- 3
The divisors add up to 7644; without 4364 itself that is 3280, so 4364 is deficient (3280 is less than 4364). Euler's totient φ(4364) = 2180 numbers up to 4364 share no factor with it.
- 4
The digits of 4364 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4364 = 2^{2} \times 1091 \]4364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7644 |
| Euler totient φ(n) | 2180 |
| Square | 19044496 |
| Cube | 83110180544 |
| Square root | 66.060578 (= 2√1091) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.364 × |
4364 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and sixty-four |
| Binary (base 2) | 1000100001100 |
| Octal (base 8) | 10414 |
| Hexadecimal (base 16) | 110C |
| Base 3 | 12222122 |
| As time | 4364 seconds = 1 h 12 min 44 s |
Is 4364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4364 ÷ 2 = 2182) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4364 ÷ 4 = 1091) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4364 a prime number?
No. 4364 = × 1091, so it is divisible by 2.
What are the factors of 4364?
1, 2, 4, 1091, 2182, 4364.
What is 4364 in binary?
1000100001100 (hexadecimal 110C, octal 10414).
What is the square root of 4364?
About 66.0606, exactly 2√1091.
Is 4364 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4364?
It is a composite number with 6 divisors.