The number 64467
64467 is a composite number with 24 divisors. Its prime factorisation is × 13 × 19 × 29. Divisors (24): 1, 3, 9, 13, 19, 29, 39, 57, 87, 117, 171, 247, 261, 377, 551, 741 … 64467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64467 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64467 is composite. Its prime factorisation is
- 3
The divisors add up to 109200; without 64467 itself that is 44733, so 64467 is deficient (44733 is less than 64467). Euler's totient φ(64467) = 36288 numbers up to 64467 share no factor with it.
- 4
The digits of 64467 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64467 = 3^{2} \times 13 \times 19 \times 29 \]64467 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 109200 |
| Euler totient φ(n) | 36288 |
| Square | 4155994089 |
| Cube | 267924470935563 |
| Square root | 253.903525 (= 3√7163) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.4467 × |
64467 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand four hundred and sixty-seven |
| Binary (base 2) | 1111101111010011 |
| Octal (base 8) | 175723 |
| Hexadecimal (base 16) | FBD3 |
| Base 3 | 10021102200 |
| As time | 64467 seconds = 17 h 54 min 27 s |
Is 64467 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 (64467 ÷ 3 = 21489) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (64467 ÷ 9 = 7163) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64467 a prime number?
No. 64467 = × 13 × 19 × 29, so it is divisible by 3.
What are the factors of 64467?
1, 3, 9, 13, 19, 29, 39, 57, 87, 117, 171, 247, 261, 377, 551, 741, 1131, 1653, 2223, 3393, 4959, 7163, 21489, 64467.
What is 64467 in binary?
1111101111010011 (hexadecimal FBD3, octal 175723).
What is the square root of 64467?
About 253.9035, exactly 3√7163.
Is 64467 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 64467?
It is a composite number with 24 divisors.