The number 61326
61326 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3407. Divisors (12): 1, 2, 3, 6, 9, 18, 3407, 6814, 10221, 20442, 30663, 61326.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61326: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
61326 is composite. Its prime factorisation is
- 3
The divisors add up to 132912; without 61326 itself that is 71586, so 61326 is abundant (71586 is more than 61326). Euler's totient φ(61326) = 20436 numbers up to 61326 share no factor with it.
- 4
The digits of 61326 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
\[ 61326 = 2 \times 3^{2} \times 3407 \]61326 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 132912 |
| Euler totient φ(n) | 20436 |
| Square | 3760878276 |
| Cube | 230639621153976 |
| Square root | 247.640869 (= 3√6814) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1326 × |
61326 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and twenty-six |
| Binary (base 2) | 1110111110001110 |
| Octal (base 8) | 167616 |
| Hexadecimal (base 16) | EF8E |
| Base 3 | 10010010100 |
| As time | 61326 seconds = 17 h 2 min 6 s |
Is 61326 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61326 ÷ 2 = 30663) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61326 ÷ 3 = 20442) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61326 ÷ 6 = 10221) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61326 ÷ 9 = 6814) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 61326 a prime number?
No. 61326 = 2 × × 3407, so it is divisible by 2.
What are the factors of 61326?
1, 2, 3, 6, 9, 18, 3407, 6814, 10221, 20442, 30663, 61326.
What is 61326 in binary?
1110111110001110 (hexadecimal EF8E, octal 167616).
What is the square root of 61326?
About 247.6409, exactly 3√6814.
Is 61326 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61326?
61326 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.