The number 3496
3496 is a composite number with 16 divisors. Its prime factorisation is × 19 × 23. Divisors (16): 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3496 is composite. Its prime factorisation is
- 3
The divisors add up to 7200; without 3496 itself that is 3704, so 3496 is abundant (3704 is more than 3496). Euler's totient φ(3496) = 1584 numbers up to 3496 share no factor with it.
- 4
The digits of 3496 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3496 = 2^{3} \times 19 \times 23 \]3496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7200 |
| Euler totient φ(n) | 1584 |
| Square | 12222016 |
| Cube | 42728167936 |
| Square root | 59.126982 (= 2√874) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.496 × |
3496 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and ninety-six |
| Roman numerals | MMMCDXCVI |
| Binary (base 2) | 110110101000 |
| Octal (base 8) | 6650 |
| Hexadecimal (base 16) | DA8 |
| Base 3 | 11210111 |
| As time | 3496 seconds = 58 min 16 s |
Is 3496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3496 ÷ 2 = 1748) | 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 (3496 ÷ 4 = 874) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | 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 (3496 ÷ 8 = 437) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 3496 a prime number?
No. 3496 = × 19 × 23, so it is divisible by 2.
What are the factors of 3496?
1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496.
What is 3496 in binary?
110110101000 (hexadecimal DA8, octal 6650).
What is the square root of 3496?
About 59.1270, exactly 2√874.
What is 3496 in Roman numerals?
MMMCDXCVI.
Is 3496 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3496?
It is a composite number with 16 divisors.