The number 55945
55945 is a triangular number: 1 + 2 + … + 334 = 55945. Its prime factorisation is 5 × 67 × 167. Divisors (8): 1, 5, 67, 167, 335, 835, 11189, 55945.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55945: a triangular number: 1 + 2 + … + 334 = 55945.
- 2
55945 is composite. Its prime factorisation is
- 3
The divisors add up to 68544; without 55945 itself that is 12599, so 55945 is deficient (12599 is less than 55945). Euler's totient φ(55945) = 43824 numbers up to 55945 share no factor with it.
- 4
The digits of 55945 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55945 = 5 \times 67 \times 167 \]
55945 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 68544 |
| Euler totient φ(n) | 43824 |
| Square | 3129843025 |
| Cube | 175099068033625 |
| Square root | 236.526954 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5945 × |
55945 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and forty-five |
| Binary (base 2) | 1101101010001001 |
| Octal (base 8) | 155211 |
| Hexadecimal (base 16) | DA89 |
| Base 3 | 2211202001 |
| As time | 55945 seconds = 15 h 32 min 25 s |
Is 55945 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55945 ÷ 5 = 11189) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55945 a prime number?
No. 55945 = 5 × 67 × 167, so it is divisible by 5.
What are the factors of 55945?
1, 5, 67, 167, 335, 835, 11189, 55945.
What is 55945 in binary?
1101101010001001 (hexadecimal DA89, octal 155211).
What is the square root of 55945?
About 236.5270.
Is 55945 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55945?
55945 is a triangular number: 1 + 2 + … + 334 = 55945.