The number 55314
55314 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 439. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 439, 878, 1317, 2634 … 55314.
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How to work it out
- 1
What is special about 55314: a Harshad number: divisible by its digit sum 18.
- 2
55314 is composite. Its prime factorisation is
- 3
The divisors add up to 137280; without 55314 itself that is 81966, so 55314 is abundant (81966 is more than 55314). Euler's totient φ(55314) = 15768 numbers up to 55314 share no factor with it.
- 4
The digits of 55314 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55314 = 2 \times 3^{2} \times 7 \times 439 \]55314 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 137280 |
| Euler totient φ(n) | 15768 |
| Square | 3059638596 |
| Cube | 169240849299144 |
| Square root | 235.189285 (= 3√6146) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.5314 × |
55314 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and fourteen |
| Binary (base 2) | 1101100000010010 |
| Octal (base 8) | 154022 |
| Hexadecimal (base 16) | D812 |
| Base 3 | 2210212200 |
| As time | 55314 seconds = 15 h 21 min 54 s |
Is 55314 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55314 ÷ 2 = 27657) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55314 ÷ 3 = 18438) | 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 (55314 ÷ 6 = 9219) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55314 ÷ 7 = 7902) | 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 (55314 ÷ 9 = 6146) | 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 6) | 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 55314 a prime number?
No. 55314 = 2 × × 7 × 439, so it is divisible by 2.
What are the factors of 55314?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 439, 878, 1317, 2634, 3073, 3951, 6146, 7902, 9219, 18438, 27657, 55314.
What is 55314 in binary?
1101100000010010 (hexadecimal D812, octal 154022).
What is the square root of 55314?
About 235.1893, exactly 3√6146.
Is 55314 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55314?
55314 is a Harshad number: divisible by its digit sum 18.