The number 63988
63988 is a composite number with 12 divisors. Its prime factorisation is × 17 × 941. Divisors (12): 1, 2, 4, 17, 34, 68, 941, 1882, 3764, 15997, 31994, 63988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 63988: a Harshad number: divisible by its digit sum 34.
- 2
63988 is composite. Its prime factorisation is
- 3
The divisors add up to 118692; without 63988 itself that is 54704, so 63988 is deficient (54704 is less than 63988). Euler's totient φ(63988) = 30080 numbers up to 63988 share no factor with it.
- 4
The digits of 63988 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 192 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63988 = 2^{2} \times 17 \times 941 \]63988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 118692 |
| Euler totient φ(n) | 30080 |
| Square | 4094464144 |
| Cube | 261996571646272 |
| Square root | 252.958495 (= 2√15997) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 192 |
| Scientific notation | 6.3988 × |
63988 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand nine hundred and eighty-eight |
| Binary (base 2) | 1111100111110100 |
| Octal (base 8) | 174764 |
| Hexadecimal (base 16) | F9F4 |
| Base 3 | 10020202221 |
| As time | 63988 seconds = 17 h 46 min 28 s |
Is 63988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (63988 ÷ 2 = 31994) | 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 | Yes (63988 ÷ 4 = 15997) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 63988 a prime number?
No. 63988 = × 17 × 941, so it is divisible by 2.
What are the factors of 63988?
1, 2, 4, 17, 34, 68, 941, 1882, 3764, 15997, 31994, 63988.
What is 63988 in binary?
1111100111110100 (hexadecimal F9F4, octal 174764).
What is the square root of 63988?
About 252.9585, exactly 2√15997.
Is 63988 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 63988?
63988 is a Harshad number: divisible by its digit sum 34.