The number 55976
55976 is a composite number with 8 divisors. Its prime factorisation is × 6997. Divisors (8): 1, 2, 4, 8, 6997, 13994, 27988, 55976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55976 is composite. Its prime factorisation is
- 3
The divisors add up to 104970; without 55976 itself that is 48994, so 55976 is deficient (48994 is less than 55976). Euler's totient φ(55976) = 27984 numbers up to 55976 share no factor with it.
- 4
The digits of 55976 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55976 = 2^{3} \times 6997 \]55976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104970 |
| Euler totient φ(n) | 27984 |
| Square | 3133312576 |
| Cube | 175390304754176 |
| Square root | 236.592477 (= 2√13994) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.5976 × |
55976 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and seventy-six |
| Binary (base 2) | 1101101010101000 |
| Octal (base 8) | 155250 |
| Hexadecimal (base 16) | DAA8 |
| Base 3 | 2211210012 |
| As time | 55976 seconds = 15 h 32 min 56 s |
Is 55976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55976 ÷ 2 = 27988) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55976 ÷ 4 = 13994) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (55976 ÷ 8 = 6997) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55976 a prime number?
No. 55976 = × 6997, so it is divisible by 2.
What are the factors of 55976?
1, 2, 4, 8, 6997, 13994, 27988, 55976.
What is 55976 in binary?
1101101010101000 (hexadecimal DAA8, octal 155250).
What is the square root of 55976?
About 236.5925, exactly 2√13994.
Is 55976 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 55976?
It is a composite number with 8 divisors.