The number 60987
60987 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 701. Divisors (8): 1, 3, 29, 87, 701, 2103, 20329, 60987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60987: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60987 is composite. Its prime factorisation is
- 3
The divisors add up to 84240; without 60987 itself that is 23253, so 60987 is deficient (23253 is less than 60987). Euler's totient φ(60987) = 39200 numbers up to 60987 share no factor with it.
- 4
The digits of 60987 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 223 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60987 = 3 \times 29 \times 701 \]
60987 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84240 |
| Euler totient φ(n) | 39200 |
| Square | 3719414169 |
| Cube | 226835911924803 |
| Square root | 246.955462 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 223 |
| Scientific notation | 6.0987 × |
60987 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand nine hundred and eighty-seven |
| Binary (base 2) | 1110111000111011 |
| Octal (base 8) | 167073 |
| Hexadecimal (base 16) | EE3B |
| Base 3 | 10002122210 |
| As time | 60987 seconds = 16 h 56 min 27 s |
Is 60987 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 (60987 ÷ 3 = 20329) | 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 2) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 60987 a prime number?
No. 60987 = 3 × 29 × 701, so it is divisible by 3.
What are the factors of 60987?
1, 3, 29, 87, 701, 2103, 20329, 60987.
What is 60987 in binary?
1110111000111011 (hexadecimal EE3B, octal 167073).
What is the square root of 60987?
About 246.9555.
Is 60987 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 60987?
60987 is a happy number: repeatedly adding the squares of its digits reaches 1.