The number 55134
55134 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1021. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1021, 2042, 3063, 6126, 9189, 18378, 27567, 55134.
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How to work it out
- 1
What is special about 55134: a Harshad number: divisible by its digit sum 18.
- 2
55134 is composite. Its prime factorisation is
- 3
The divisors add up to 122640; without 55134 itself that is 67506, so 55134 is abundant (67506 is more than 55134). Euler's totient φ(55134) = 18360 numbers up to 55134 share no factor with it.
- 4
The digits of 55134 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55134 = 2 \times 3^{3} \times 1021 \]55134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122640 |
| Euler totient φ(n) | 18360 |
| Square | 3039757956 |
| Cube | 167594015146104 |
| Square root | 234.806303 (= 3√6126) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5134 × |
55134 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and thirty-four |
| Binary (base 2) | 1101011101011110 |
| Octal (base 8) | 153536 |
| Hexadecimal (base 16) | D75E |
| Base 3 | 2210122000 |
| As time | 55134 seconds = 15 h 18 min 54 s |
Is 55134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55134 ÷ 2 = 27567) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55134 ÷ 3 = 18378) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (55134 ÷ 6 = 9189) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55134 ÷ 9 = 6126) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55134 a prime number?
No. 55134 = 2 × × 1021, so it is divisible by 2.
What are the factors of 55134?
1, 2, 3, 6, 9, 18, 27, 54, 1021, 2042, 3063, 6126, 9189, 18378, 27567, 55134.
What is 55134 in binary?
1101011101011110 (hexadecimal D75E, octal 153536).
What is the square root of 55134?
About 234.8063, exactly 3√6126.
Is 55134 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55134?
55134 is a Harshad number: divisible by its digit sum 18.