The number 8464
8464 is a perfect square (92²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8464: a perfect square (92²).
- 2
8464 is composite. Its prime factorisation is
- 3
The divisors add up to 17143; without 8464 itself that is 8679, so 8464 is abundant (8679 is more than 8464). Euler's totient φ(8464) = 4048 numbers up to 8464 share no factor with it.
- 4
The digits of 8464 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8464 = 2^{4} \times 23^{2} \]8464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 17143 |
| Euler totient φ(n) | 4048 |
| Square | 71639296 |
| Cube | 606355001344 |
| Square root | 92 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.464 × |
| Perfect power |
8464 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and sixty-four |
| Binary (base 2) | 10000100010000 |
| Octal (base 8) | 20420 |
| Hexadecimal (base 16) | 2110 |
| Base 3 | 102121111 |
| As time | 8464 seconds = 2 h 21 min 4 s |
Is 8464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8464 ÷ 2 = 4232) | 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 | Yes (8464 ÷ 4 = 2116) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (8464 ÷ 8 = 1058) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8464 a prime number?
No. 8464 = × , so it is divisible by 2.
What are the factors of 8464?
1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464.
What is 8464 in binary?
10000100010000 (hexadecimal 2110, octal 20420).
What is the square root of 8464?
92, because 92 × 92 = 8464.
Is 8464 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 8464?
8464 is a perfect square (92²).