The number 62001
62001 is a perfect square (249²). Its prime factorisation is × . Divisors (9): 1, 3, 9, 83, 249, 747, 6889, 20667, 62001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62001: a perfect square (249²); a Harshad number: divisible by its digit sum 9.
- 2
62001 is composite. Its prime factorisation is
- 3
The divisors add up to 90649; without 62001 itself that is 28648, so 62001 is deficient (28648 is less than 62001). Euler's totient φ(62001) = 40836 numbers up to 62001 share no factor with it.
- 4
The digits of 62001 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62001 = 3^{2} \times 83^{2} \]62001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 90649 |
| Euler totient φ(n) | 40836 |
| Square | 3844124001 |
| Cube | 238339532186001 |
| Square root | 249 |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.2001 × |
| Perfect power |
62001 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand and one |
| Binary (base 2) | 1111001000110001 |
| Octal (base 8) | 171061 |
| Hexadecimal (base 16) | F231 |
| Base 3 | 10011001100 |
| As time | 62001 seconds = 17 h 13 min 21 s |
Is 62001 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 | Yes (62001 ÷ 3 = 20667) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (62001 ÷ 9 = 6889) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62001 a prime number?
No. 62001 = × , so it is divisible by 3.
What are the factors of 62001?
1, 3, 9, 83, 249, 747, 6889, 20667, 62001.
What is 62001 in binary?
1111001000110001 (hexadecimal F231, octal 171061).
What is the square root of 62001?
249, because 249 × 249 = 62001.
Is 62001 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 62001?
62001 is a perfect square (249²); a Harshad number: divisible by its digit sum 9.