The number 4355
4355 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 67. Divisors (8): 1, 5, 13, 65, 67, 335, 871, 4355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4355 is composite. Its prime factorisation is
- 3
The divisors add up to 5712; without 4355 itself that is 1357, so 4355 is deficient (1357 is less than 4355). Euler's totient φ(4355) = 3168 numbers up to 4355 share no factor with it.
- 4
The digits of 4355 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4355 = 5 \times 13 \times 67 \]
4355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5712 |
| Euler totient φ(n) | 3168 |
| Square | 18966025 |
| Cube | 82597038875 |
| Square root | 65.992424 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 139 |
| Scientific notation | 4.355 × |
4355 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and fifty-five |
| Binary (base 2) | 1000100000011 |
| Octal (base 8) | 10403 |
| Hexadecimal (base 16) | 1103 |
| Base 3 | 12222022 |
| As time | 4355 seconds = 1 h 12 min 35 s |
Is 4355 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 | No (remainder 2) | 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 | Yes (4355 ÷ 5 = 871) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4355 a prime number?
No. 4355 = 5 × 13 × 67, so it is divisible by 5.
What are the factors of 4355?
1, 5, 13, 65, 67, 335, 871, 4355.
What is 4355 in binary?
1000100000011 (hexadecimal 1103, octal 10403).
What is the square root of 4355?
About 65.9924.
Is 4355 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4355?
It is a composite number with 8 divisors.