The number 34938
34938 is a composite number with 16 divisors. Its prime factorisation is 2 × × 647. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 647, 1294, 1941, 3882, 5823, 11646, 17469, 34938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34938: a Harshad number: divisible by its digit sum 27.
- 2
34938 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 34938 itself that is 42822, so 34938 is abundant (42822 is more than 34938). Euler's totient φ(34938) = 11628 numbers up to 34938 share no factor with it.
- 4
The digits of 34938 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34938 = 2 \times 3^{3} \times 647 \]34938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 11628 |
| Square | 1220663844 |
| Cube | 42647553381672 |
| Square root | 186.917094 (= 3√3882) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.4938 × |
34938 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and thirty-eight |
| Binary (base 2) | 1000100001111010 |
| Octal (base 8) | 104172 |
| Hexadecimal (base 16) | 887A |
| Base 3 | 1202221000 |
| As time | 34938 seconds = 9 h 42 min 18 s |
Is 34938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34938 ÷ 2 = 17469) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34938 ÷ 3 = 11646) | 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 (34938 ÷ 6 = 5823) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (34938 ÷ 9 = 3882) | 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 2) | 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 34938 a prime number?
No. 34938 = 2 × × 647, so it is divisible by 2.
What are the factors of 34938?
1, 2, 3, 6, 9, 18, 27, 54, 647, 1294, 1941, 3882, 5823, 11646, 17469, 34938.
What is 34938 in binary?
1000100001111010 (hexadecimal 887A, octal 104172).
What is the square root of 34938?
About 186.9171, exactly 3√3882.
Is 34938 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 34938?
34938 is a Harshad number: divisible by its digit sum 27.