The number 53464
53464 is a composite number with 16 divisors. Its prime factorisation is × 41 × 163. Divisors (16): 1, 2, 4, 8, 41, 82, 163, 164, 326, 328, 652, 1304, 6683, 13366, 26732, 53464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53464 is composite. Its prime factorisation is
- 3
The divisors add up to 103320; without 53464 itself that is 49856, so 53464 is deficient (49856 is less than 53464). Euler's totient φ(53464) = 25920 numbers up to 53464 share no factor with it.
- 4
The digits of 53464 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53464 = 2^{3} \times 41 \times 163 \]53464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 103320 |
| Euler totient φ(n) | 25920 |
| Square | 2858399296 |
| Cube | 152821459961344 |
| Square root | 231.222836 (= 2√13366) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3464 × |
53464 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and sixty-four |
| Binary (base 2) | 1101000011011000 |
| Octal (base 8) | 150330 |
| Hexadecimal (base 16) | D0D8 |
| Base 3 | 2201100011 |
| As time | 53464 seconds = 14 h 51 min 4 s |
Is 53464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53464 ÷ 2 = 26732) | 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 (53464 ÷ 4 = 13366) | 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 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 (53464 ÷ 8 = 6683) | 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 4) | 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 53464 a prime number?
No. 53464 = × 41 × 163, so it is divisible by 2.
What are the factors of 53464?
1, 2, 4, 8, 41, 82, 163, 164, 326, 328, 652, 1304, 6683, 13366, 26732, 53464.
What is 53464 in binary?
1101000011011000 (hexadecimal D0D8, octal 150330).
What is the square root of 53464?
About 231.2228, exactly 2√13366.
Is 53464 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 53464?
It is a composite number with 16 divisors.