The number 64377
64377 is a composite number with 12 divisors. Its prime factorisation is × 23 × 311. Divisors (12): 1, 3, 9, 23, 69, 207, 311, 933, 2799, 7153, 21459, 64377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64377 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64377 is composite. Its prime factorisation is
- 3
The divisors add up to 97344; without 64377 itself that is 32967, so 64377 is deficient (32967 is less than 64377). Euler's totient φ(64377) = 40920 numbers up to 64377 share no factor with it.
- 4
The digits of 64377 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64377 = 3^{2} \times 23 \times 311 \]64377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 97344 |
| Euler totient φ(n) | 40920 |
| Square | 4144398129 |
| Cube | 266803918350633 |
| Square root | 253.726230 (= 3√7153) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.4377 × |
64377 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand three hundred and seventy-seven |
| Binary (base 2) | 1111101101111001 |
| Octal (base 8) | 175571 |
| Hexadecimal (base 16) | FB79 |
| Base 3 | 10021022100 |
| As time | 64377 seconds = 17 h 52 min 57 s |
Is 64377 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 (64377 ÷ 3 = 21459) | 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 5) | 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 | Yes (64377 ÷ 9 = 7153) | 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 5) | 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 64377 a prime number?
No. 64377 = × 23 × 311, so it is divisible by 3.
What are the factors of 64377?
1, 3, 9, 23, 69, 207, 311, 933, 2799, 7153, 21459, 64377.
What is 64377 in binary?
1111101101111001 (hexadecimal FB79, octal 175571).
What is the square root of 64377?
About 253.7262, exactly 3√7153.
Is 64377 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 64377?
It is a composite number with 12 divisors.