The number 63987
63987 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 277. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 231, 277, 831, 1939, 3047, 5817, 9141, 21329, 63987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 63987: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 33.
- 2
63987 is composite. Its prime factorisation is
- 3
The divisors add up to 106752; without 63987 itself that is 42765, so 63987 is deficient (42765 is less than 63987). Euler's totient φ(63987) = 33120 numbers up to 63987 share no factor with it.
- 4
The digits of 63987 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 192 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63987 = 3 \times 7 \times 11 \times 277 \]
63987 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106752 |
| Euler totient φ(n) | 33120 |
| Square | 4094336169 |
| Cube | 261984288445803 |
| Square root | 252.956518 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 192 |
| Scientific notation | 6.3987 × |
63987 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand nine hundred and eighty-seven |
| Binary (base 2) | 1111100111110011 |
| Octal (base 8) | 174763 |
| Hexadecimal (base 16) | F9F3 |
| Base 3 | 10020202220 |
| As time | 63987 seconds = 17 h 46 min 27 s |
Is 63987 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 (63987 ÷ 3 = 21329) | 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 | Yes (63987 ÷ 7 = 9141) | 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 6) | 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 | Yes (63987 ÷ 11 = 5817) | 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 63987 a prime number?
No. 63987 = 3 × 7 × 11 × 277, so it is divisible by 3.
What are the factors of 63987?
1, 3, 7, 11, 21, 33, 77, 231, 277, 831, 1939, 3047, 5817, 9141, 21329, 63987.
What is 63987 in binary?
1111100111110011 (hexadecimal F9F3, octal 174763).
What is the square root of 63987?
About 252.9565.
Is 63987 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 63987?
63987 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 33.