The number 61182
61182 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 103. Divisors (32): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 103, 198, 206 … 61182.
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How to work it out
- 1
What is special about 61182: a Harshad number: divisible by its digit sum 18.
- 2
61182 is composite. Its prime factorisation is
- 3
The divisors add up to 149760; without 61182 itself that is 88578, so 61182 is abundant (88578 is more than 61182). Euler's totient φ(61182) = 18360 numbers up to 61182 share no factor with it.
- 4
The digits of 61182 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61182 = 2 \times 3^{3} \times 11 \times 103 \]61182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 149760 |
| Euler totient φ(n) | 18360 |
| Square | 3743237124 |
| Cube | 229018733720568 |
| Square root | 247.349955 (= 3√6798) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1182 × |
61182 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and eighty-two |
| Binary (base 2) | 1110111011111110 |
| Octal (base 8) | 167376 |
| Hexadecimal (base 16) | EEFE |
| Base 3 | 10002221000 |
| As time | 61182 seconds = 16 h 59 min 42 s |
Is 61182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61182 ÷ 2 = 30591) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61182 ÷ 3 = 20394) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (61182 ÷ 6 = 10197) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61182 ÷ 9 = 6798) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (61182 ÷ 11 = 5562) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61182 a prime number?
No. 61182 = 2 × × 11 × 103, so it is divisible by 2.
What are the factors of 61182?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 103, 198, 206, 297, 309, 594, 618, 927, 1133, 1854, 2266, 2781, 3399, 5562, 6798, 10197, 20394, 30591, 61182.
What is 61182 in binary?
1110111011111110 (hexadecimal EEFE, octal 167376).
What is the square root of 61182?
About 247.3500, exactly 3√6798.
Is 61182 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61182?
61182 is a Harshad number: divisible by its digit sum 18.