The number 7250
7250 is a composite number with 16 divisors. Its prime factorisation is 2 × × 29. Divisors (16): 1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 725, 1450, 3625, 7250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7250 is composite. Its prime factorisation is
- 3
The divisors add up to 14040; without 7250 itself that is 6790, so 7250 is deficient (6790 is less than 7250). Euler's totient φ(7250) = 2800 numbers up to 7250 share no factor with it.
- 4
The digits of 7250 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7250 = 2 \times 5^{3} \times 29 \]7250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14040 |
| Euler totient φ(n) | 2800 |
| Square | 52562500 |
| Cube | 381078125000 |
| Square root | 85.146932 (= 5√290) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.25 × |
7250 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and fifty |
| Binary (base 2) | 1110001010010 |
| Octal (base 8) | 16122 |
| Hexadecimal (base 16) | 1C52 |
| Base 3 | 100221112 |
| As time | 7250 seconds = 2 h 0 min 50 s |
Is 7250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7250 ÷ 2 = 3625) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7250 ÷ 5 = 1450) | 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 | No (remainder 2) | 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 | Yes (7250 ÷ 10 = 725) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7250 a prime number?
No. 7250 = 2 × × 29, so it is divisible by 2.
What are the factors of 7250?
1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 725, 1450, 3625, 7250.
What is 7250 in binary?
1110001010010 (hexadecimal 1C52, octal 16122).
What is the square root of 7250?
About 85.1469, exactly 5√290.
Is 7250 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7250?
It is a composite number with 16 divisors.