The number 3458
3458 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 19. Divisors (16): 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3458 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3458 is composite. Its prime factorisation is
- 3
The divisors add up to 6720; without 3458 itself that is 3262, so 3458 is deficient (3262 is less than 3458). Euler's totient φ(3458) = 1296 numbers up to 3458 share no factor with it.
- 4
The digits of 3458 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3458 = 2 \times 7 \times 13 \times 19 \]
3458 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6720 |
| Euler totient φ(n) | 1296 |
| Square | 11957764 |
| Cube | 41349947912 |
| Square root | 58.804762 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.458 × |
3458 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and fifty-eight |
| Roman numerals | MMMCDLVIII |
| Binary (base 2) | 110110000010 |
| Octal (base 8) | 6602 |
| Hexadecimal (base 16) | D82 |
| Base 3 | 11202002 |
| As time | 3458 seconds = 57 min 38 s |
Is 3458 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3458 ÷ 2 = 1729) | 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 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3458 ÷ 7 = 494) | 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 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3458 a prime number?
No. 3458 = 2 × 7 × 13 × 19, so it is divisible by 2.
What are the factors of 3458?
1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458.
What is 3458 in binary?
110110000010 (hexadecimal D82, octal 6602).
What is the square root of 3458?
About 58.8048.
What is 3458 in Roman numerals?
MMMCDLVIII.
Is 3458 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3458?
It is a composite number with 16 divisors.