The number 61389
61389 is a composite number with 12 divisors. Its prime factorisation is × 19 × 359. Divisors (12): 1, 3, 9, 19, 57, 171, 359, 1077, 3231, 6821, 20463, 61389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61389 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61389 is composite. Its prime factorisation is
- 3
The divisors add up to 93600; without 61389 itself that is 32211, so 61389 is deficient (32211 is less than 61389). Euler's totient φ(61389) = 38664 numbers up to 61389 share no factor with it.
- 4
The digits of 61389 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61389 = 3^{2} \times 19 \times 359 \]61389 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93600 |
| Euler totient φ(n) | 38664 |
| Square | 3768609321 |
| Cube | 231351157606869 |
| Square root | 247.768037 (= 3√6821) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1389 × |
61389 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and eighty-nine |
| Binary (base 2) | 1110111111001101 |
| Octal (base 8) | 167715 |
| Hexadecimal (base 16) | EFCD |
| Base 3 | 10010012200 |
| As time | 61389 seconds = 17 h 3 min 9 s |
Is 61389 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 | Yes (61389 ÷ 3 = 20463) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61389 ÷ 9 = 6821) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61389 a prime number?
No. 61389 = × 19 × 359, so it is divisible by 3.
What are the factors of 61389?
1, 3, 9, 19, 57, 171, 359, 1077, 3231, 6821, 20463, 61389.
What is 61389 in binary?
1110111111001101 (hexadecimal EFCD, octal 167715).
What is the square root of 61389?
About 247.7680, exactly 3√6821.
Is 61389 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 61389?
It is a composite number with 12 divisors.