The number 62125
62125 is a composite number with 16 divisors. Its prime factorisation is × 7 × 71. Divisors (16): 1, 5, 7, 25, 35, 71, 125, 175, 355, 497, 875, 1775, 2485, 8875, 12425, 62125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62125: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
62125 is composite. Its prime factorisation is
- 3
The divisors add up to 89856; without 62125 itself that is 27731, so 62125 is deficient (27731 is less than 62125). Euler's totient φ(62125) = 42000 numbers up to 62125 share no factor with it.
- 4
The digits of 62125 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62125 = 5^{3} \times 7 \times 71 \]62125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89856 |
| Euler totient φ(n) | 42000 |
| Square | 3859515625 |
| Cube | 239772408203125 |
| Square root | 249.248872 (= 5√2485) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.2125 × |
62125 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand one hundred and twenty-five |
| Binary (base 2) | 1111001010101101 |
| Octal (base 8) | 171255 |
| Hexadecimal (base 16) | F2AD |
| Base 3 | 10011012221 |
| As time | 62125 seconds = 17 h 15 min 25 s |
Is 62125 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 (62125 ÷ 5 = 12425) | 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 | Yes (62125 ÷ 7 = 8875) | 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 8) | 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 62125 a prime number?
No. 62125 = × 7 × 71, so it is divisible by 5.
What are the factors of 62125?
1, 5, 7, 25, 35, 71, 125, 175, 355, 497, 875, 1775, 2485, 8875, 12425, 62125.
What is 62125 in binary?
1111001010101101 (hexadecimal F2AD, octal 171255).
What is the square root of 62125?
About 249.2489, exactly 5√2485.
Is 62125 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 62125?
62125 is a happy number: repeatedly adding the squares of its digits reaches 1.