The number 55137
55137 is a composite number with 4 divisors. Its prime factorisation is 3 × 18379. Divisors (4): 1, 3, 18379, 55137.
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How to work it out
- 1
What is special about 55137: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 18379, the product of two primes.
- 2
55137 is composite. Its prime factorisation is
- 3
The divisors add up to 73520; without 55137 itself that is 18383, so 55137 is deficient (18383 is less than 55137). Euler's totient φ(55137) = 36756 numbers up to 55137 share no factor with it.
- 4
The digits of 55137 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55137 = 3 \times 18379 \]
55137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 73520 |
| Euler totient φ(n) | 36756 |
| Square | 3040088769 |
| Cube | 167621374456353 |
| Square root | 234.812691 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5137 × |
55137 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and thirty-seven |
| Binary (base 2) | 1101011101100001 |
| Octal (base 8) | 153541 |
| Hexadecimal (base 16) | D761 |
| Base 3 | 2210122010 |
| As time | 55137 seconds = 15 h 18 min 57 s |
Is 55137 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 | Yes (55137 ÷ 3 = 18379) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55137 a prime number?
No. 55137 = 3 × 18379, so it is divisible by 3.
What are the factors of 55137?
1, 3, 18379, 55137.
What is 55137 in binary?
1101011101100001 (hexadecimal D761, octal 153541).
What is the square root of 55137?
About 234.8127.
Is 55137 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55137?
55137 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 18379, the product of two primes.