The number 61938
61938 is a composite number with 32 divisors. Its prime factorisation is 2 × × 31 × 37. Divisors (32): 1, 2, 3, 6, 9, 18, 27, 31, 37, 54, 62, 74, 93, 111, 186, 222 … 61938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61938: a Harshad number: divisible by its digit sum 27.
- 2
61938 is composite. Its prime factorisation is
- 3
The divisors add up to 145920; without 61938 itself that is 83982, so 61938 is abundant (83982 is more than 61938). Euler's totient φ(61938) = 19440 numbers up to 61938 share no factor with it.
- 4
The digits of 61938 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
\[ 61938 = 2 \times 3^{3} \times 31 \times 37 \]61938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 145920 |
| Euler totient φ(n) | 19440 |
| Square | 3836315844 |
| Cube | 237613730745672 |
| Square root | 248.873462 (= 3√6882) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1938 × |
61938 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand nine hundred and thirty-eight |
| Binary (base 2) | 1111000111110010 |
| Octal (base 8) | 170762 |
| Hexadecimal (base 16) | F1F2 |
| Base 3 | 10010222000 |
| As time | 61938 seconds = 17 h 12 min 18 s |
Is 61938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61938 ÷ 2 = 30969) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61938 ÷ 3 = 20646) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61938 ÷ 6 = 10323) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61938 ÷ 9 = 6882) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 61938 a prime number?
No. 61938 = 2 × × 31 × 37, so it is divisible by 2.
What are the factors of 61938?
1, 2, 3, 6, 9, 18, 27, 31, 37, 54, 62, 74, 93, 111, 186, 222, 279, 333, 558, 666, 837, 999, 1147, 1674, 1998, 2294, 3441, 6882, 10323, 20646, 30969, 61938.
What is 61938 in binary?
1111000111110010 (hexadecimal F1F2, octal 170762).
What is the square root of 61938?
About 248.8735, exactly 3√6882.
Is 61938 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 61938?
61938 is a Harshad number: divisible by its digit sum 27.