The number 64801
64801 is a composite number with 8 divisors. Its prime factorisation is 11 × 43 × 137. Divisors (8): 1, 11, 43, 137, 473, 1507, 5891, 64801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64801 is composite. Its prime factorisation is
- 3
The divisors add up to 72864; without 64801 itself that is 8063, so 64801 is deficient (8063 is less than 64801). Euler's totient φ(64801) = 57120 numbers up to 64801 share no factor with it.
- 4
The digits of 64801 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64801 = 11 \times 43 \times 137 \]
64801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72864 |
| Euler totient φ(n) | 57120 |
| Square | 4199169601 |
| Cube | 272110389314401 |
| Square root | 254.560405 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.4801 × |
64801 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand eight hundred and one |
| Binary (base 2) | 1111110100100001 |
| Octal (base 8) | 176441 |
| Hexadecimal (base 16) | FD21 |
| Base 3 | 10021220001 |
| As time | 64801 seconds = 18 h 0 min 1 s |
Is 64801 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (64801 ÷ 11 = 5891) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64801 a prime number?
No. 64801 = 11 × 43 × 137, so it is divisible by 11.
What are the factors of 64801?
1, 11, 43, 137, 473, 1507, 5891, 64801.
What is 64801 in binary?
1111110100100001 (hexadecimal FD21, octal 176441).
What is the square root of 64801?
About 254.5604.
Is 64801 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 64801?
It is a composite number with 8 divisors.