The number 62991
62991 is a composite number with 8 divisors. Its prime factorisation is × 2333. Divisors (8): 1, 3, 9, 27, 2333, 6999, 20997, 62991.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62991: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
62991 is composite. Its prime factorisation is
- 3
The divisors add up to 93360; without 62991 itself that is 30369, so 62991 is deficient (30369 is less than 62991). Euler's totient φ(62991) = 41976 numbers up to 62991 share no factor with it.
- 4
The digits of 62991 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62991 = 3^{3} \times 2333 \]62991 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 93360 |
| Euler totient φ(n) | 41976 |
| Square | 3967866081 |
| Cube | 249939852308271 |
| Square root | 250.980079 (= 3√6999) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.2991 × |
62991 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand nine hundred and ninety-one |
| Binary (base 2) | 1111011000001111 |
| Octal (base 8) | 173017 |
| Hexadecimal (base 16) | F60F |
| Base 3 | 10012102000 |
| As time | 62991 seconds = 17 h 29 min 51 s |
Is 62991 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 (62991 ÷ 3 = 20997) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (62991 ÷ 9 = 6999) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62991 a prime number?
No. 62991 = × 2333, so it is divisible by 3.
What are the factors of 62991?
1, 3, 9, 27, 2333, 6999, 20997, 62991.
What is 62991 in binary?
1111011000001111 (hexadecimal F60F, octal 173017).
What is the square root of 62991?
About 250.9801, exactly 3√6999.
Is 62991 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 62991?
62991 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.