The number 55537
55537 is a composite number with 8 divisors. Its prime factorisation is 19 × 37 × 79. Divisors (8): 1, 19, 37, 79, 703, 1501, 2923, 55537.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55537: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55537 is composite. Its prime factorisation is
- 3
The divisors add up to 60800; without 55537 itself that is 5263, so 55537 is deficient (5263 is less than 55537). Euler's totient φ(55537) = 50544 numbers up to 55537 share no factor with it.
- 4
The digits of 55537 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55537 = 19 \times 37 \times 79 \]
55537 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60800 |
| Euler totient φ(n) | 50544 |
| Square | 3084358369 |
| Cube | 171296010739153 |
| Square root | 235.662895 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5537 × |
55537 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and thirty-seven |
| Binary (base 2) | 1101100011110001 |
| Octal (base 8) | 154361 |
| Hexadecimal (base 16) | D8F1 |
| Base 3 | 2211011221 |
| As time | 55537 seconds = 15 h 25 min 37 s |
Is 55537 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 | No (remainder 2) | 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 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 55537 a prime number?
No. 55537 = 19 × 37 × 79, so it is divisible by 19.
What are the factors of 55537?
1, 19, 37, 79, 703, 1501, 2923, 55537.
What is 55537 in binary?
1101100011110001 (hexadecimal D8F1, octal 154361).
What is the square root of 55537?
About 235.6629.
Is 55537 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55537?
55537 is a happy number: repeatedly adding the squares of its digits reaches 1.