The number 3508
3508 is a composite number with 6 divisors. Its prime factorisation is × 877. Divisors (6): 1, 2, 4, 877, 1754, 3508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3508 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3508 is composite. Its prime factorisation is
- 3
The divisors add up to 6146; without 3508 itself that is 2638, so 3508 is deficient (2638 is less than 3508). Euler's totient φ(3508) = 1752 numbers up to 3508 share no factor with it.
- 4
The digits of 3508 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3508 = 2^{2} \times 877 \]3508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6146 |
| Euler totient φ(n) | 1752 |
| Square | 12306064 |
| Cube | 43169672512 |
| Square root | 59.228372 (= 2√877) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.508 × |
3508 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and eight |
| Roman numerals | MMMDVIII |
| Binary (base 2) | 110110110100 |
| Octal (base 8) | 6664 |
| Hexadecimal (base 16) | DB4 |
| Base 3 | 11210221 |
| As time | 3508 seconds = 58 min 28 s |
Is 3508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3508 ÷ 2 = 1754) | 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 | Yes (3508 ÷ 4 = 877) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3508 a prime number?
No. 3508 = × 877, so it is divisible by 2.
What are the factors of 3508?
1, 2, 4, 877, 1754, 3508.
What is 3508 in binary?
110110110100 (hexadecimal DB4, octal 6664).
What is the square root of 3508?
About 59.2284, exactly 2√877.
What is 3508 in Roman numerals?
MMMDVIII.
Is 3508 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3508?
It is a composite number with 6 divisors.