The number 61787
61787 is a composite number with 8 divisors. Its prime factorisation is 11 × 41 × 137. Divisors (8): 1, 11, 41, 137, 451, 1507, 5617, 61787.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61787 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61787 is composite. Its prime factorisation is
- 3
The divisors add up to 69552; without 61787 itself that is 7765, so 61787 is deficient (7765 is less than 61787). Euler's totient φ(61787) = 54400 numbers up to 61787 share no factor with it.
- 4
The digits of 61787 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61787 = 11 \times 41 \times 137 \]
61787 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69552 |
| Euler totient φ(n) | 54400 |
| Square | 3817633369 |
| Cube | 235880112970403 |
| Square root | 248.569910 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1787 × |
61787 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and eighty-seven |
| Binary (base 2) | 1111000101011011 |
| Octal (base 8) | 170533 |
| Hexadecimal (base 16) | F15B |
| Base 3 | 10010202102 |
| As time | 61787 seconds = 17 h 9 min 47 s |
Is 61787 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 3) | 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 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 3) | 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 | Yes (61787 ÷ 11 = 5617) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61787 a prime number?
No. 61787 = 11 × 41 × 137, so it is divisible by 11.
What are the factors of 61787?
1, 11, 41, 137, 451, 1507, 5617, 61787.
What is 61787 in binary?
1111000101011011 (hexadecimal F15B, octal 170533).
What is the square root of 61787?
About 248.5699.
Is 61787 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 61787?
It is a composite number with 8 divisors.