The number 55264
55264 is a composite number with 24 divisors. Its prime factorisation is × 11 × 157. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 157, 176, 314, 352, 628, 1256 … 55264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55264: a Harshad number: divisible by its digit sum 22.
- 2
55264 is composite. Its prime factorisation is
- 3
The divisors add up to 119448; without 55264 itself that is 64184, so 55264 is abundant (64184 is more than 55264). Euler's totient φ(55264) = 24960 numbers up to 55264 share no factor with it.
- 4
The digits of 55264 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55264 = 2^{5} \times 11 \times 157 \]55264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 119448 |
| Euler totient φ(n) | 24960 |
| Square | 3054109696 |
| Cube | 168782318239744 |
| Square root | 235.082964 (= 4√3454) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5264 × |
55264 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and sixty-four |
| Binary (base 2) | 1101011111100000 |
| Octal (base 8) | 153740 |
| Hexadecimal (base 16) | D7E0 |
| Base 3 | 2210210211 |
| As time | 55264 seconds = 15 h 21 min 4 s |
Is 55264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55264 ÷ 2 = 27632) | 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 (55264 ÷ 4 = 13816) | 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 6) | 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 (55264 ÷ 8 = 6908) | 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 | Yes (55264 ÷ 11 = 5024) | 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 55264 a prime number?
No. 55264 = × 11 × 157, so it is divisible by 2.
What are the factors of 55264?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 157, 176, 314, 352, 628, 1256, 1727, 2512, 3454, 5024, 6908, 13816, 27632, 55264.
What is 55264 in binary?
1101011111100000 (hexadecimal D7E0, octal 153740).
What is the square root of 55264?
About 235.0830, exactly 4√3454.
Is 55264 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55264?
55264 is a Harshad number: divisible by its digit sum 22.