The number 55924
55924 is a composite number with 24 divisors. Its prime factorisation is × 11 × 31 × 41. Divisors (24): 1, 2, 4, 11, 22, 31, 41, 44, 62, 82, 124, 164, 341, 451, 682, 902 … 55924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55924 is composite. Its prime factorisation is
- 3
The divisors add up to 112896; without 55924 itself that is 56972, so 55924 is abundant (56972 is more than 55924). Euler's totient φ(55924) = 24000 numbers up to 55924 share no factor with it.
- 4
The digits of 55924 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55924 = 2^{2} \times 11 \times 31 \times 41 \]55924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 112896 |
| Euler totient φ(n) | 24000 |
| Square | 3127493776 |
| Cube | 174901961929024 |
| Square root | 236.482557 (= 2√13981) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5924 × |
55924 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and twenty-four |
| Binary (base 2) | 1101101001110100 |
| Octal (base 8) | 155164 |
| Hexadecimal (base 16) | DA74 |
| Base 3 | 2211201021 |
| As time | 55924 seconds = 15 h 32 min 4 s |
Is 55924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55924 ÷ 2 = 27962) | 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 (55924 ÷ 4 = 13981) | 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 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (55924 ÷ 11 = 5084) | 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 55924 a prime number?
No. 55924 = × 11 × 31 × 41, so it is divisible by 2.
What are the factors of 55924?
1, 2, 4, 11, 22, 31, 41, 44, 62, 82, 124, 164, 341, 451, 682, 902, 1271, 1364, 1804, 2542, 5084, 13981, 27962, 55924.
What is 55924 in binary?
1101101001110100 (hexadecimal DA74, octal 155164).
What is the square root of 55924?
About 236.4826, exactly 2√13981.
Is 55924 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55924?
It is a composite number with 24 divisors.