The number 1496
1496 is a composite number with 16 divisors. Its prime factorisation is × 11 × 17. Divisors (16): 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1496 is composite. Its prime factorisation is
- 3
The divisors add up to 3240; without 1496 itself that is 1744, so 1496 is abundant (1744 is more than 1496). Euler's totient φ(1496) = 640 numbers up to 1496 share no factor with it.
- 4
The digits of 1496 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1496 = 2^{3} \times 11 \times 17 \]1496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3240 |
| Euler totient φ(n) | 640 |
| Square | 2238016 |
| Cube | 3348071936 |
| Square root | 38.678159 (= 2√374) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.496 × |
1496 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and ninety-six |
| Roman numerals | MCDXCVI |
| Binary (base 2) | 10111011000 |
| Octal (base 8) | 2730 |
| Hexadecimal (base 16) | 5D8 |
| Base 3 | 2001102 |
| As time | 1496 seconds = 24 min 56 s |
Is 1496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1496 ÷ 2 = 748) | 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 (1496 ÷ 4 = 374) | 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 2) | 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 | Yes (1496 ÷ 8 = 187) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (1496 ÷ 11 = 136) | 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 1496 a prime number?
No. 1496 = × 11 × 17, so it is divisible by 2.
What are the factors of 1496?
1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496.
What is 1496 in binary?
10111011000 (hexadecimal 5D8, octal 2730).
What is the square root of 1496?
About 38.6782, exactly 2√374.
What is 1496 in Roman numerals?
MCDXCVI.
Is 1496 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 1496?
It is a composite number with 16 divisors.