The number 55674
55674 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1031. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1031, 2062, 3093, 6186, 9279, 18558, 27837, 55674.
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How to work it out
- 1
What is special about 55674: a Harshad number: divisible by its digit sum 27.
- 2
55674 is composite. Its prime factorisation is
- 3
The divisors add up to 123840; without 55674 itself that is 68166, so 55674 is abundant (68166 is more than 55674). Euler's totient φ(55674) = 18540 numbers up to 55674 share no factor with it.
- 4
The digits of 55674 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55674 = 2 \times 3^{3} \times 1031 \]55674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123840 |
| Euler totient φ(n) | 18540 |
| Square | 3099594276 |
| Cube | 172566811722024 |
| Square root | 235.953385 (= 3√6186) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5674 × |
55674 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and seventy-four |
| Binary (base 2) | 1101100101111010 |
| Octal (base 8) | 154572 |
| Hexadecimal (base 16) | D97A |
| Base 3 | 2211101000 |
| As time | 55674 seconds = 15 h 27 min 54 s |
Is 55674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55674 ÷ 2 = 27837) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55674 ÷ 3 = 18558) | 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 (55674 ÷ 6 = 9279) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55674 ÷ 9 = 6186) | 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 3) | 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 55674 a prime number?
No. 55674 = 2 × × 1031, so it is divisible by 2.
What are the factors of 55674?
1, 2, 3, 6, 9, 18, 27, 54, 1031, 2062, 3093, 6186, 9279, 18558, 27837, 55674.
What is 55674 in binary?
1101100101111010 (hexadecimal D97A, octal 154572).
What is the square root of 55674?
About 235.9534, exactly 3√6186.
Is 55674 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55674?
55674 is a Harshad number: divisible by its digit sum 27.