The number 3358
3358 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 73. Divisors (8): 1, 2, 23, 46, 73, 146, 1679, 3358.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3358 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3358 is composite. Its prime factorisation is
- 3
The divisors add up to 5328; without 3358 itself that is 1970, so 3358 is deficient (1970 is less than 3358). Euler's totient φ(3358) = 1584 numbers up to 3358 share no factor with it.
- 4
The digits of 3358 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3358 = 2 \times 23 \times 73 \]
3358 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5328 |
| Euler totient φ(n) | 1584 |
| Square | 11276164 |
| Cube | 37865358712 |
| Square root | 57.948253 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.358 × |
3358 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifty-eight |
| Roman numerals | MMMCCCLVIII |
| Binary (base 2) | 110100011110 |
| Octal (base 8) | 6436 |
| Hexadecimal (base 16) | D1E |
| Base 3 | 11121101 |
| As time | 3358 seconds = 55 min 58 s |
Is 3358 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3358 ÷ 2 = 1679) | 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 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 | No (remainder 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 3358 a prime number?
No. 3358 = 2 × 23 × 73, so it is divisible by 2.
What are the factors of 3358?
1, 2, 23, 46, 73, 146, 1679, 3358.
What is 3358 in binary?
110100011110 (hexadecimal D1E, octal 6436).
What is the square root of 3358?
About 57.9483.
What is 3358 in Roman numerals?
MMMCCCLVIII.
Is 3358 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3358?
It is a composite number with 8 divisors.