The number 55468
55468 is a composite number with 18 divisors. Its prime factorisation is × × 283. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 196, 283, 566, 1132, 1981, 3962, 7924, 13867 … 55468.
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How to work it out
- 1
What is special about 55468: a Harshad number: divisible by its digit sum 28.
- 2
55468 is composite. Its prime factorisation is
- 3
The divisors add up to 113316; without 55468 itself that is 57848, so 55468 is abundant (57848 is more than 55468). Euler's totient φ(55468) = 23688 numbers up to 55468 share no factor with it.
- 4
The digits of 55468 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55468 = 2^{2} \times 7^{2} \times 283 \]55468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 113316 |
| Euler totient φ(n) | 23688 |
| Square | 3076699024 |
| Cube | 170658341463232 |
| Square root | 235.516454 (= 14√283) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5468 × |
55468 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and sixty-eight |
| Binary (base 2) | 1101100010101100 |
| Octal (base 8) | 154254 |
| Hexadecimal (base 16) | D8AC |
| Base 3 | 2211002101 |
| As time | 55468 seconds = 15 h 24 min 28 s |
Is 55468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55468 ÷ 2 = 27734) | 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 (55468 ÷ 4 = 13867) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (55468 ÷ 7 = 7924) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55468 a prime number?
No. 55468 = × × 283, so it is divisible by 2.
What are the factors of 55468?
1, 2, 4, 7, 14, 28, 49, 98, 196, 283, 566, 1132, 1981, 3962, 7924, 13867, 27734, 55468.
What is 55468 in binary?
1101100010101100 (hexadecimal D8AC, octal 154254).
What is the square root of 55468?
About 235.5165, exactly 14√283.
Is 55468 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55468?
55468 is a Harshad number: divisible by its digit sum 28.