The number 3493
3493 is a composite number with 4 divisors. Its prime factorisation is 7 × 499. Divisors (4): 1, 7, 499, 3493.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3493: a semiprime: 7 × 499, the product of two primes.
- 2
3493 is composite. Its prime factorisation is
- 3
The divisors add up to 4000; without 3493 itself that is 507, so 3493 is deficient (507 is less than 3493). Euler's totient φ(3493) = 2988 numbers up to 3493 share no factor with it.
- 4
The digits of 3493 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 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3493 = 7 \times 499 \]
3493 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4000 |
| Euler totient φ(n) | 2988 |
| Square | 12201049 |
| Cube | 42618264157 |
| Square root | 59.101607 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.493 × |
3493 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and ninety-three |
| Roman numerals | MMMCDXCIII |
| Binary (base 2) | 110110100101 |
| Octal (base 8) | 6645 |
| Hexadecimal (base 16) | DA5 |
| Base 3 | 11210101 |
| As time | 3493 seconds = 58 min 13 s |
Is 3493 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3493 ÷ 7 = 499) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3493 a prime number?
No. 3493 = 7 × 499, so it is divisible by 7.
What are the factors of 3493?
1, 7, 499, 3493.
What is 3493 in binary?
110110100101 (hexadecimal DA5, octal 6645).
What is the square root of 3493?
About 59.1016.
What is 3493 in Roman numerals?
MMMCDXCIII.
Is 3493 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3493?
3493 is a semiprime: 7 × 499, the product of two primes.