The number 1528
1528 is a composite number with 8 divisors. Its prime factorisation is × 191. Divisors (8): 1, 2, 4, 8, 191, 382, 764, 1528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1528: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1528 is composite. Its prime factorisation is
- 3
The divisors add up to 2880; without 1528 itself that is 1352, so 1528 is deficient (1352 is less than 1528). Euler's totient φ(1528) = 760 numbers up to 1528 share no factor with it.
- 4
The digits of 1528 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1528 = 2^{3} \times 191 \]1528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2880 |
| Euler totient φ(n) | 760 |
| Square | 2334784 |
| Cube | 3567549952 |
| Square root | 39.089641 (= 2√382) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.528 × |
1528 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and twenty-eight |
| Roman numerals | MDXXVIII |
| Binary (base 2) | 10111111000 |
| Octal (base 8) | 2770 |
| Hexadecimal (base 16) | 5F8 |
| Base 3 | 2002121 |
| As time | 1528 seconds = 25 min 28 s |
Is 1528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1528 ÷ 2 = 764) | 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 | Yes (1528 ÷ 4 = 382) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 2) | 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 (1528 ÷ 8 = 191) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1528 a prime number?
No. 1528 = × 191, so it is divisible by 2.
What are the factors of 1528?
1, 2, 4, 8, 191, 382, 764, 1528.
What is 1528 in binary?
10111111000 (hexadecimal 5F8, octal 2770).
What is the square root of 1528?
About 39.0896, exactly 2√382.
What is 1528 in Roman numerals?
MDXXVIII.
Is 1528 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1528?
1528 is a happy number: repeatedly adding the squares of its digits reaches 1.