The number 1750
1750 is a composite number with 16 divisors. Its prime factorisation is 2 × × 7. Divisors (16): 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1750 is composite. Its prime factorisation is
- 3
The divisors add up to 3744; without 1750 itself that is 1994, so 1750 is abundant (1994 is more than 1750). Euler's totient φ(1750) = 600 numbers up to 1750 share no factor with it.
- 4
The digits of 1750 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1750 = 2 \times 5^{3} \times 7 \]1750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3744 |
| Euler totient φ(n) | 600 |
| Square | 3062500 |
| Cube | 5359375000 |
| Square root | 41.833001 (= 5√70) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.75 × |
1750 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and fifty |
| Roman numerals | MDCCL |
| Binary (base 2) | 11011010110 |
| Octal (base 8) | 3326 |
| Hexadecimal (base 16) | 6D6 |
| Base 3 | 2101211 |
| As time | 1750 seconds = 29 min 10 s |
Is 1750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1750 ÷ 2 = 875) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1750 ÷ 5 = 350) | 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 | Yes (1750 ÷ 7 = 250) | 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 6) | 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 | Yes (1750 ÷ 10 = 175) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1750 a prime number?
No. 1750 = 2 × × 7, so it is divisible by 2.
What are the factors of 1750?
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750.
What is 1750 in binary?
11011010110 (hexadecimal 6D6, octal 3326).
What is the square root of 1750?
About 41.8330, exactly 5√70.
What is 1750 in Roman numerals?
MDCCL.
Is 1750 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1750?
It is a composite number with 16 divisors.