The number 60137
60137 is a composite number with 12 divisors. Its prime factorisation is 7 × × 71. Divisors (12): 1, 7, 11, 71, 77, 121, 497, 781, 847, 5467, 8591, 60137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60137 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 60137 itself that is 16471, so 60137 is deficient (16471 is less than 60137). Euler's totient φ(60137) = 46200 numbers up to 60137 share no factor with it.
- 4
The digits of 60137 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60137 = 7 \times 11^{2} \times 71 \]60137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 46200 |
| Square | 3616458769 |
| Cube | 217482980991353 |
| Square root | 245.228465 (= 11√497) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.0137 × |
60137 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and thirty-seven |
| Binary (base 2) | 1110101011101001 |
| Octal (base 8) | 165351 |
| Hexadecimal (base 16) | EAE9 |
| Base 3 | 10001111022 |
| As time | 60137 seconds = 16 h 42 min 17 s |
Is 60137 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 | Yes (60137 ÷ 7 = 8591) | 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 8) | 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 | Yes (60137 ÷ 11 = 5467) | 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 60137 a prime number?
No. 60137 = 7 × × 71, so it is divisible by 7.
What are the factors of 60137?
1, 7, 11, 71, 77, 121, 497, 781, 847, 5467, 8591, 60137.
What is 60137 in binary?
1110101011101001 (hexadecimal EAE9, octal 165351).
What is the square root of 60137?
About 245.2285, exactly 11√497.
Is 60137 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 60137?
It is a composite number with 12 divisors.