The number 55376
55376 is a composite number with 10 divisors. Its prime factorisation is × 3461. Divisors (10): 1, 2, 4, 8, 16, 3461, 6922, 13844, 27688, 55376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55376 is composite. Its prime factorisation is
- 3
The divisors add up to 107322; without 55376 itself that is 51946, so 55376 is deficient (51946 is less than 55376). Euler's totient φ(55376) = 27680 numbers up to 55376 share no factor with it.
- 4
The digits of 55376 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55376 = 2^{4} \times 3461 \]55376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 107322 |
| Euler totient φ(n) | 27680 |
| Square | 3066501376 |
| Cube | 169810580197376 |
| Square root | 235.321057 (= 4√3461) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5376 × |
55376 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and seventy-six |
| Binary (base 2) | 1101100001010000 |
| Octal (base 8) | 154120 |
| Hexadecimal (base 16) | D850 |
| Base 3 | 2210221222 |
| As time | 55376 seconds = 15 h 22 min 56 s |
Is 55376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55376 ÷ 2 = 27688) | 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 (55376 ÷ 4 = 13844) | 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 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 | Yes (55376 ÷ 8 = 6922) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | 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 55376 a prime number?
No. 55376 = × 3461, so it is divisible by 2.
What are the factors of 55376?
1, 2, 4, 8, 16, 3461, 6922, 13844, 27688, 55376.
What is 55376 in binary?
1101100001010000 (hexadecimal D850, octal 154120).
What is the square root of 55376?
About 235.3211, exactly 4√3461.
Is 55376 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55376?
It is a composite number with 10 divisors.