The number 55629
55629 is a composite number with 12 divisors. Its prime factorisation is × 7 × 883. Divisors (12): 1, 3, 7, 9, 21, 63, 883, 2649, 6181, 7947, 18543, 55629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55629 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55629 is composite. Its prime factorisation is
- 3
The divisors add up to 91936; without 55629 itself that is 36307, so 55629 is deficient (36307 is less than 55629). Euler's totient φ(55629) = 31752 numbers up to 55629 share no factor with it.
- 4
The digits of 55629 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
\[ 55629 = 3^{2} \times 7 \times 883 \]55629 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91936 |
| Euler totient φ(n) | 31752 |
| Square | 3094585641 |
| Cube | 172148704623189 |
| Square root | 235.858008 (= 3√6181) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5629 × |
55629 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and twenty-nine |
| Binary (base 2) | 1101100101001101 |
| Octal (base 8) | 154515 |
| Hexadecimal (base 16) | D94D |
| Base 3 | 2211022100 |
| As time | 55629 seconds = 15 h 27 min 9 s |
Is 55629 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55629 ÷ 3 = 18543) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55629 ÷ 7 = 7947) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55629 ÷ 9 = 6181) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55629 a prime number?
No. 55629 = × 7 × 883, so it is divisible by 3.
What are the factors of 55629?
1, 3, 7, 9, 21, 63, 883, 2649, 6181, 7947, 18543, 55629.
What is 55629 in binary?
1101100101001101 (hexadecimal D94D, octal 154515).
What is the square root of 55629?
About 235.8580, exactly 3√6181.
Is 55629 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55629?
It is a composite number with 12 divisors.