The number 3488
3488 is a composite number with 12 divisors. Its prime factorisation is × 109. Divisors (12): 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3488 is composite. Its prime factorisation is
- 3
The divisors add up to 6930; without 3488 itself that is 3442, so 3488 is deficient (3442 is less than 3488). Euler's totient φ(3488) = 1728 numbers up to 3488 share no factor with it.
- 4
The digits of 3488 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3488 = 2^{5} \times 109 \]3488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6930 |
| Euler totient φ(n) | 1728 |
| Square | 12166144 |
| Cube | 42435510272 |
| Square root | 59.059292 (= 4√218) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.488 × |
3488 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and eighty-eight |
| Roman numerals | MMMCDLXXXVIII |
| Binary (base 2) | 110110100000 |
| Octal (base 8) | 6640 |
| Hexadecimal (base 16) | DA0 |
| Base 3 | 11210012 |
| As time | 3488 seconds = 58 min 8 s |
Is 3488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3488 ÷ 2 = 1744) | 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 | Yes (3488 ÷ 4 = 872) | 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 | No (remainder 2) | 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 | Yes (3488 ÷ 8 = 436) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3488 a prime number?
No. 3488 = × 109, so it is divisible by 2.
What are the factors of 3488?
1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488.
What is 3488 in binary?
110110100000 (hexadecimal DA0, octal 6640).
What is the square root of 3488?
About 59.0593, exactly 4√218.
What is 3488 in Roman numerals?
MMMCDLXXXVIII.
Is 3488 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3488?
It is a composite number with 12 divisors.