The number 62525
62525 is a composite number with 12 divisors. Its prime factorisation is × 41 × 61. Divisors (12): 1, 5, 25, 41, 61, 205, 305, 1025, 1525, 2501, 12505, 62525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62525: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
62525 is composite. Its prime factorisation is
- 3
The divisors add up to 80724; without 62525 itself that is 18199, so 62525 is deficient (18199 is less than 62525). Euler's totient φ(62525) = 48000 numbers up to 62525 share no factor with it.
- 4
The digits of 62525 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62525 = 5^{2} \times 41 \times 61 \]62525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80724 |
| Euler totient φ(n) | 48000 |
| Square | 3909375625 |
| Cube | 244433710953125 |
| Square root | 250.049995 (= 5√2501) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.2525 × |
62525 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand five hundred and twenty-five |
| Binary (base 2) | 1111010000111101 |
| Octal (base 8) | 172075 |
| Hexadecimal (base 16) | F43D |
| Base 3 | 10011202202 |
| As time | 62525 seconds = 17 h 22 min 5 s |
Is 62525 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 (62525 ÷ 5 = 12505) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | 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 62525 a prime number?
No. 62525 = × 41 × 61, so it is divisible by 5.
What are the factors of 62525?
1, 5, 25, 41, 61, 205, 305, 1025, 1525, 2501, 12505, 62525.
What is 62525 in binary?
1111010000111101 (hexadecimal F43D, octal 172075).
What is the square root of 62525?
About 250.0500, exactly 5√2501.
Is 62525 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 62525?
62525 is a happy number: repeatedly adding the squares of its digits reaches 1.