The number 54137
54137 is a composite number with 4 divisors. Its prime factorisation is 43 × 1259. Divisors (4): 1, 43, 1259, 54137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54137: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 1259, the product of two primes.
- 2
54137 is composite. Its prime factorisation is
- 3
The divisors add up to 55440; without 54137 itself that is 1303, so 54137 is deficient (1303 is less than 54137). Euler's totient φ(54137) = 52836 numbers up to 54137 share no factor with it.
- 4
The digits of 54137 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54137 = 43 \times 1259 \]
54137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 55440 |
| Euler totient φ(n) | 52836 |
| Square | 2930814769 |
| Cube | 158665519149353 |
| Square root | 232.673591 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.4137 × |
54137 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand one hundred and thirty-seven |
| Binary (base 2) | 1101001101111001 |
| Octal (base 8) | 151571 |
| Hexadecimal (base 16) | D379 |
| Base 3 | 2202021002 |
| As time | 54137 seconds = 15 h 2 min 17 s |
Is 54137 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 2) | 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 5) | 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 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54137 a prime number?
No. 54137 = 43 × 1259, so it is divisible by 43.
What are the factors of 54137?
1, 43, 1259, 54137.
What is 54137 in binary?
1101001101111001 (hexadecimal D379, octal 151571).
What is the square root of 54137?
About 232.6736.
Is 54137 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 54137?
54137 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 1259, the product of two primes.