The number 55624
55624 is a composite number with 16 divisors. Its prime factorisation is × 17 × 409. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 409, 818, 1636, 3272, 6953, 13906, 27812, 55624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55624 is composite. Its prime factorisation is
- 3
The divisors add up to 110700; without 55624 itself that is 55076, so 55624 is deficient (55076 is less than 55624). Euler's totient φ(55624) = 26112 numbers up to 55624 share no factor with it.
- 4
The digits of 55624 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55624 = 2^{3} \times 17 \times 409 \]55624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110700 |
| Euler totient φ(n) | 26112 |
| Square | 3094029376 |
| Cube | 172102290010624 |
| Square root | 235.847408 (= 2√13906) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5624 × |
55624 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and twenty-four |
| Binary (base 2) | 1101100101001000 |
| Octal (base 8) | 154510 |
| Hexadecimal (base 16) | D948 |
| Base 3 | 2211022011 |
| As time | 55624 seconds = 15 h 27 min 4 s |
Is 55624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55624 ÷ 2 = 27812) | 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 (55624 ÷ 4 = 13906) | 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 4) | 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 | Yes (55624 ÷ 8 = 6953) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | 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 55624 a prime number?
No. 55624 = × 17 × 409, so it is divisible by 2.
What are the factors of 55624?
1, 2, 4, 8, 17, 34, 68, 136, 409, 818, 1636, 3272, 6953, 13906, 27812, 55624.
What is 55624 in binary?
1101100101001000 (hexadecimal D948, octal 154510).
What is the square root of 55624?
About 235.8474, exactly 2√13906.
Is 55624 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55624?
It is a composite number with 16 divisors.