The number 64077
64077 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 31 × 53. Divisors (16): 1, 3, 13, 31, 39, 53, 93, 159, 403, 689, 1209, 1643, 2067, 4929, 21359, 64077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64077 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 64077 itself that is 32691, so 64077 is deficient (32691 is less than 64077). Euler's totient φ(64077) = 37440 numbers up to 64077 share no factor with it.
- 4
The digits of 64077 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64077 = 3 \times 13 \times 31 \times 53 \]
64077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 37440 |
| Square | 4105861929 |
| Cube | 263091314824533 |
| Square root | 253.134352 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 6.4077 × |
64077 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and seventy-seven |
| Binary (base 2) | 1111101001001101 |
| Octal (base 8) | 175115 |
| Hexadecimal (base 16) | FA4D |
| Base 3 | 10020220020 |
| As time | 64077 seconds = 17 h 47 min 57 s |
Is 64077 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 (64077 ÷ 3 = 21359) | 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 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 6) | 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 5) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64077 a prime number?
No. 64077 = 3 × 13 × 31 × 53, so it is divisible by 3.
What are the factors of 64077?
1, 3, 13, 31, 39, 53, 93, 159, 403, 689, 1209, 1643, 2067, 4929, 21359, 64077.
What is 64077 in binary?
1111101001001101 (hexadecimal FA4D, octal 175115).
What is the square root of 64077?
About 253.1344.
Is 64077 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 64077?
It is a composite number with 16 divisors.