The number 61137
61137 is a composite number with 6 divisors. Its prime factorisation is × 6793. Divisors (6): 1, 3, 9, 6793, 20379, 61137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61137 is composite. Its prime factorisation is
- 3
The divisors add up to 88322; without 61137 itself that is 27185, so 61137 is deficient (27185 is less than 61137). Euler's totient φ(61137) = 40752 numbers up to 61137 share no factor with it.
- 4
The digits of 61137 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61137 = 3^{2} \times 6793 \]61137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 88322 |
| Euler totient φ(n) | 40752 |
| Square | 3737732769 |
| Cube | 228513768298353 |
| Square root | 247.258974 (= 3√6793) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.1137 × |
61137 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and thirty-seven |
| Binary (base 2) | 1110111011010001 |
| Octal (base 8) | 167321 |
| Hexadecimal (base 16) | EED1 |
| Base 3 | 10002212100 |
| As time | 61137 seconds = 16 h 58 min 57 s |
Is 61137 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 (61137 ÷ 3 = 20379) | 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 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 | Yes (61137 ÷ 9 = 6793) | 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 10) | 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 61137 a prime number?
No. 61137 = × 6793, so it is divisible by 3.
What are the factors of 61137?
1, 3, 9, 6793, 20379, 61137.
What is 61137 in binary?
1110111011010001 (hexadecimal EED1, octal 167321).
What is the square root of 61137?
About 247.2590, exactly 3√6793.
Is 61137 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61137?
It is a composite number with 6 divisors.