The number 61122
61122 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 61 × 167. Divisors (16): 1, 2, 3, 6, 61, 122, 167, 183, 334, 366, 501, 1002, 10187, 20374, 30561, 61122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61122 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 61122 itself that is 63870, so 61122 is abundant (63870 is more than 61122). Euler's totient φ(61122) = 19920 numbers up to 61122 share no factor with it.
- 4
The digits of 61122 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61122 = 2 \times 3 \times 61 \times 167 \]
61122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 19920 |
| Square | 3735898884 |
| Cube | 228345611587848 |
| Square root | 247.228639 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1122 × |
61122 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and twenty-two |
| Binary (base 2) | 1110111011000010 |
| Octal (base 8) | 167302 |
| Hexadecimal (base 16) | EEC2 |
| Base 3 | 10002211210 |
| As time | 61122 seconds = 16 h 58 min 42 s |
Is 61122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61122 ÷ 2 = 30561) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61122 ÷ 3 = 20374) | 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 (61122 ÷ 6 = 10187) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 6) | 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 61122 a prime number?
No. 61122 = 2 × 3 × 61 × 167, so it is divisible by 2.
What are the factors of 61122?
1, 2, 3, 6, 61, 122, 167, 183, 334, 366, 501, 1002, 10187, 20374, 30561, 61122.
What is 61122 in binary?
1110111011000010 (hexadecimal EEC2, octal 167302).
What is the square root of 61122?
About 247.2286.
Is 61122 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 61122?
It is a composite number with 16 divisors.