The number 1625
1625 is a composite number with 8 divisors. Its prime factorisation is Ć 13. Divisors (8): 1, 5, 13, 25, 65, 125, 325, 1625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1625 is composite. Its prime factorisation is
- 3
The divisors add up to 2184; without 1625 itself that is 559, so 1625 is deficient (559 is less than 1625). Euler's totient Ļ(1625) = 1200 numbers up to 1625 share no factor with it.
- 4
The digits of 1625 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1625 = 5^{3} \times 13 \]1625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2184 |
| Euler totient Ļ(n) | 1200 |
| Square | 2640625 |
| Cube | 4291015625 |
| Square root | 40.311289 (= 5ā65) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.625 Ć |
1625 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and twenty-five |
| Roman numerals | MDCXXV |
| Binary (base 2) | 11001011001 |
| Octal (base 8) | 3131 |
| Hexadecimal (base 16) | 659 |
| Base 3 | 2020012 |
| As time | 1625 seconds = 27 min 5 s |
Is 1625 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1625 Ć· 5 = 325) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1625 a prime number?
No. 1625 = Ć 13, so it is divisible by 5.
What are the factors of 1625?
1, 5, 13, 25, 65, 125, 325, 1625.
What is 1625 in binary?
11001011001 (hexadecimal 659, octal 3131).
What is the square root of 1625?
About 40.3113, exactly 5ā65.
What is 1625 in Roman numerals?
MDCXXV.
Is 1625 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1625?
It is a composite number with 8 divisors.