The number 1525
1525 is a composite number with 6 divisors. Its prime factorisation is Ć 61. Divisors (6): 1, 5, 25, 61, 305, 1525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1525 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1525 is composite. Its prime factorisation is
- 3
The divisors add up to 1922; without 1525 itself that is 397, so 1525 is deficient (397 is less than 1525). Euler's totient Ļ(1525) = 1200 numbers up to 1525 share no factor with it.
- 4
The digits of 1525 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1525 = 5^{2} \times 61 \]1525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1922 |
| Euler totient Ļ(n) | 1200 |
| Square | 2325625 |
| Cube | 3546578125 |
| Square root | 39.051248 (= 5ā61) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 109 |
| Scientific notation | 1.525 Ć |
1525 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and twenty-five |
| Roman numerals | MDXXV |
| Binary (base 2) | 10111110101 |
| Octal (base 8) | 2765 |
| Hexadecimal (base 16) | 5F5 |
| Base 3 | 2002111 |
| As time | 1525 seconds = 25 min 25 s |
Is 1525 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 1) | 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 (1525 Ć· 5 = 305) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1525 a prime number?
No. 1525 = Ć 61, so it is divisible by 5.
What are the factors of 1525?
1, 5, 25, 61, 305, 1525.
What is 1525 in binary?
10111110101 (hexadecimal 5F5, octal 2765).
What is the square root of 1525?
About 39.0512, exactly 5ā61.
What is 1525 in Roman numerals?
MDXXV.
Is 1525 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1525?
It is a composite number with 6 divisors.