The number 18464
18464 is a composite number with 12 divisors. Its prime factorisation is × 577. Divisors (12): 1, 2, 4, 8, 16, 32, 577, 1154, 2308, 4616, 9232, 18464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18464: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18464 is composite. Its prime factorisation is
- 3
The divisors add up to 36414; without 18464 itself that is 17950, so 18464 is deficient (17950 is less than 18464). Euler's totient φ(18464) = 9216 numbers up to 18464 share no factor with it.
- 4
The digits of 18464 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18464 = 2^{5} \times 577 \]18464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36414 |
| Euler totient φ(n) | 9216 |
| Square | 340919296 |
| Cube | 6294733881344 |
| Square root | 135.882302 (= 4√1154) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.8464 × |
18464 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and sixty-four |
| Binary (base 2) | 100100000100000 |
| Octal (base 8) | 44040 |
| Hexadecimal (base 16) | 4820 |
| Base 3 | 221022212 |
| As time | 18464 seconds = 5 h 7 min 44 s |
Is 18464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18464 ÷ 2 = 9232) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18464 ÷ 4 = 4616) | 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 2) | 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 | Yes (18464 ÷ 8 = 2308) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18464 a prime number?
No. 18464 = × 577, so it is divisible by 2.
What are the factors of 18464?
1, 2, 4, 8, 16, 32, 577, 1154, 2308, 4616, 9232, 18464.
What is 18464 in binary?
100100000100000 (hexadecimal 4820, octal 44040).
What is the square root of 18464?
About 135.8823, exactly 4√1154.
Is 18464 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 18464?
18464 is a happy number: repeatedly adding the squares of its digits reaches 1.