The number 55950
55950 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 373. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 373, 746, 1119, 1865 … 55950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55950 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55950 is composite. Its prime factorisation is
- 3
The divisors add up to 139128; without 55950 itself that is 83178, so 55950 is abundant (83178 is more than 55950). Euler's totient φ(55950) = 14880 numbers up to 55950 share no factor with it.
- 4
The digits of 55950 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55950 = 2 \times 3 \times 5^{2} \times 373 \]55950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 139128 |
| Euler totient φ(n) | 14880 |
| Square | 3130402500 |
| Cube | 175146019875000 |
| Square root | 236.537523 (= 5√2238) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.595 × |
55950 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and fifty |
| Binary (base 2) | 1101101010001110 |
| Octal (base 8) | 155216 |
| Hexadecimal (base 16) | DA8E |
| Base 3 | 2211202020 |
| As time | 55950 seconds = 15 h 32 min 30 s |
Is 55950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55950 ÷ 2 = 27975) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55950 ÷ 3 = 18650) | 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 | Yes (55950 ÷ 5 = 11190) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55950 ÷ 6 = 9325) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55950 ÷ 10 = 5595) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 55950 a prime number?
No. 55950 = 2 × 3 × × 373, so it is divisible by 2.
What are the factors of 55950?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 373, 746, 1119, 1865, 2238, 3730, 5595, 9325, 11190, 18650, 27975, 55950.
What is 55950 in binary?
1101101010001110 (hexadecimal DA8E, octal 155216).
What is the square root of 55950?
About 236.5375, exactly 5√2238.
Is 55950 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55950?
It is a composite number with 24 divisors.