The number 3498
3498 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 53. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498.
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How to work it out
- 1
3498 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3498 is composite. Its prime factorisation is
- 3
The divisors add up to 7776; without 3498 itself that is 4278, so 3498 is abundant (4278 is more than 3498). Euler's totient φ(3498) = 1040 numbers up to 3498 share no factor with it.
- 4
The digits of 3498 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3498 = 2 \times 3 \times 11 \times 53 \]
3498 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7776 |
| Euler totient φ(n) | 1040 |
| Square | 12236004 |
| Cube | 42801541992 |
| Square root | 59.143892 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.498 × |
3498 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and ninety-eight |
| Roman numerals | MMMCDXCVIII |
| Binary (base 2) | 110110101010 |
| Octal (base 8) | 6652 |
| Hexadecimal (base 16) | DAA |
| Base 3 | 11210120 |
| As time | 3498 seconds = 58 min 18 s |
Is 3498 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3498 ÷ 2 = 1749) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3498 ÷ 3 = 1166) | 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 | Yes (3498 ÷ 6 = 583) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (3498 ÷ 11 = 318) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3498 a prime number?
No. 3498 = 2 × 3 × 11 × 53, so it is divisible by 2.
What are the factors of 3498?
1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498.
What is 3498 in binary?
110110101010 (hexadecimal DAA, octal 6652).
What is the square root of 3498?
About 59.1439.
What is 3498 in Roman numerals?
MMMCDXCVIII.
Is 3498 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3498?
It is a composite number with 16 divisors.