The number 67525
67525 is a composite number with 12 divisors. Its prime factorisation is × 37 × 73. Divisors (12): 1, 5, 25, 37, 73, 185, 365, 925, 1825, 2701, 13505, 67525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67525: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.
- 2
67525 is composite. Its prime factorisation is
- 3
The divisors add up to 87172; without 67525 itself that is 19647, so 67525 is deficient (19647 is less than 67525). Euler's totient φ(67525) = 51840 numbers up to 67525 share no factor with it.
- 4
The digits of 67525 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67525 = 5^{2} \times 37 \times 73 \]67525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 87172 |
| Euler totient φ(n) | 51840 |
| Square | 4559625625 |
| Cube | 307888720328125 |
| Square root | 259.855729 (= 5√2701) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7525 × |
67525 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and twenty-five |
| Binary (base 2) | 10000011111000101 |
| Octal (base 8) | 203705 |
| Hexadecimal (base 16) | 107C5 |
| Base 3 | 10102121221 |
| As time | 67525 seconds = 18 h 45 min 25 s |
Is 67525 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 (67525 ÷ 5 = 13505) | 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 3) | 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 7) | 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 67525 a prime number?
No. 67525 = × 37 × 73, so it is divisible by 5.
What are the factors of 67525?
1, 5, 25, 37, 73, 185, 365, 925, 1825, 2701, 13505, 67525.
What is 67525 in binary?
10000011111000101 (hexadecimal 107C5, octal 203705).
What is the square root of 67525?
About 259.8557, exactly 5√2701.
Is 67525 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67525?
67525 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.