The number 67528
67528 is a triangular number: 1 + 2 + … + 367 = 67528. Its prime factorisation is × 23 × 367. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 367, 734, 1468, 2936, 8441, 16882, 33764, 67528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67528: a triangular number: 1 + 2 + … + 367 = 67528.
- 2
67528 is composite. Its prime factorisation is
- 3
The divisors add up to 132480; without 67528 itself that is 64952, so 67528 is deficient (64952 is less than 67528). Euler's totient φ(67528) = 32208 numbers up to 67528 share no factor with it.
- 4
The digits of 67528 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67528 = 2^{3} \times 23 \times 367 \]67528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 132480 |
| Euler totient φ(n) | 32208 |
| Square | 4560030784 |
| Cube | 307929758781952 |
| Square root | 259.861502 (= 2√16882) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7528 × |
67528 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and twenty-eight |
| Binary (base 2) | 10000011111001000 |
| Octal (base 8) | 203710 |
| Hexadecimal (base 16) | 107C8 |
| Base 3 | 10102122001 |
| As time | 67528 seconds = 18 h 45 min 28 s |
Is 67528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67528 ÷ 2 = 33764) | 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 (67528 ÷ 4 = 16882) | 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 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 | Yes (67528 ÷ 8 = 8441) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 67528 a prime number?
No. 67528 = × 23 × 367, so it is divisible by 2.
What are the factors of 67528?
1, 2, 4, 8, 23, 46, 92, 184, 367, 734, 1468, 2936, 8441, 16882, 33764, 67528.
What is 67528 in binary?
10000011111001000 (hexadecimal 107C8, octal 203710).
What is the square root of 67528?
About 259.8615, exactly 2√16882.
Is 67528 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67528?
67528 is a triangular number: 1 + 2 + … + 367 = 67528.