The number 61180
61180 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 19 × 23. Divisors (48): 1, 2, 4, 5, 7, 10, 14, 19, 20, 23, 28, 35, 38, 46, 70, 76 … 61180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61180 is composite. Its prime factorisation is
- 3
The divisors add up to 161280; without 61180 itself that is 100100, so 61180 is abundant (100100 is more than 61180). Euler's totient φ(61180) = 19008 numbers up to 61180 share no factor with it.
- 4
The digits of 61180 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61180 = 2^{2} \times 5 \times 7 \times 19 \times 23 \]61180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 161280 |
| Euler totient φ(n) | 19008 |
| Square | 3742992400 |
| Cube | 228996275032000 |
| Square root | 247.345912 (= 2√15295) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.118 × |
61180 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and eighty |
| Binary (base 2) | 1110111011111100 |
| Octal (base 8) | 167374 |
| Hexadecimal (base 16) | EEFC |
| Base 3 | 10002220221 |
| As time | 61180 seconds = 16 h 59 min 40 s |
Is 61180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61180 ÷ 2 = 30590) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61180 ÷ 4 = 15295) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61180 ÷ 5 = 12236) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61180 ÷ 7 = 8740) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61180 ÷ 10 = 6118) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61180 a prime number?
No. 61180 = × 5 × 7 × 19 × 23, so it is divisible by 2.
What are the factors of 61180?
1, 2, 4, 5, 7, 10, 14, 19, 20, 23, 28, 35, 38, 46, 70, 76, 92, 95, 115, 133, 140, 161, 190, 230, 266, 322, 380, 437, 460, 532, 644, 665, 805, 874, 1330, 1610, 1748, 2185, 2660, 3059, 3220, 4370, 6118, 8740, 12236, 15295, 30590, 61180.
What is 61180 in binary?
1110111011111100 (hexadecimal EEFC, octal 167374).
What is the square root of 61180?
About 247.3459, exactly 2√15295.
Is 61180 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 61180?
It is a composite number with 48 divisors.