The number 36464
36464 is a composite number with 20 divisors. Its prime factorisation is × 43 × 53. Divisors (20): 1, 2, 4, 8, 16, 43, 53, 86, 106, 172, 212, 344, 424, 688, 848, 2279 … 36464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36464 is composite. Its prime factorisation is
- 3
The divisors add up to 73656; without 36464 itself that is 37192, so 36464 is abundant (37192 is more than 36464). Euler's totient φ(36464) = 17472 numbers up to 36464 share no factor with it.
- 4
The digits of 36464 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 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36464 = 2^{4} \times 43 \times 53 \]36464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 73656 |
| Euler totient φ(n) | 17472 |
| Square | 1329623296 |
| Cube | 48483383865344 |
| Square root | 190.955492 (= 4√2279) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6464 × |
36464 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand four hundred and sixty-four |
| Binary (base 2) | 1000111001110000 |
| Octal (base 8) | 107160 |
| Hexadecimal (base 16) | 8E70 |
| Base 3 | 1212000112 |
| As time | 36464 seconds = 10 h 7 min 44 s |
Is 36464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36464 ÷ 2 = 18232) | 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 (36464 ÷ 4 = 9116) | 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 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 (36464 ÷ 8 = 4558) | 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 10) | 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 36464 a prime number?
No. 36464 = × 43 × 53, so it is divisible by 2.
What are the factors of 36464?
1, 2, 4, 8, 16, 43, 53, 86, 106, 172, 212, 344, 424, 688, 848, 2279, 4558, 9116, 18232, 36464.
What is 36464 in binary?
1000111001110000 (hexadecimal 8E70, octal 107160).
What is the square root of 36464?
About 190.9555, exactly 4√2279.
Is 36464 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 36464?
It is a composite number with 20 divisors.