The number 64988
64988 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 211. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 211, 308, 422, 844, 1477 … 64988.
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How to work it out
- 1
64988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64988 is composite. Its prime factorisation is
- 3
The divisors add up to 142464; without 64988 itself that is 77476, so 64988 is abundant (77476 is more than 64988). Euler's totient φ(64988) = 25200 numbers up to 64988 share no factor with it.
- 4
The digits of 64988 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64988 = 2^{2} \times 7 \times 11 \times 211 \]64988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 142464 |
| Euler totient φ(n) | 25200 |
| Square | 4223440144 |
| Cube | 274472928078272 |
| Square root | 254.927441 (= 2√16247) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.4988 × |
64988 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand nine hundred and eighty-eight |
| Binary (base 2) | 1111110111011100 |
| Octal (base 8) | 176734 |
| Hexadecimal (base 16) | FDDC |
| Base 3 | 10022010222 |
| As time | 64988 seconds = 18 h 3 min 8 s |
Is 64988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64988 ÷ 2 = 32494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (64988 ÷ 4 = 16247) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (64988 ÷ 7 = 9284) | 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 8) | 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 | Yes (64988 ÷ 11 = 5908) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64988 a prime number?
No. 64988 = × 7 × 11 × 211, so it is divisible by 2.
What are the factors of 64988?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 211, 308, 422, 844, 1477, 2321, 2954, 4642, 5908, 9284, 16247, 32494, 64988.
What is 64988 in binary?
1111110111011100 (hexadecimal FDDC, octal 176734).
What is the square root of 64988?
About 254.9274, exactly 2√16247.
Is 64988 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 64988?
It is a composite number with 24 divisors.