The number 35834
35834 is a composite number with 16 divisors. Its prime factorisation is 2 × 19 × 23 × 41. Divisors (16): 1, 2, 19, 23, 38, 41, 46, 82, 437, 779, 874, 943, 1558, 1886, 17917, 35834.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35834: a Harshad number: divisible by its digit sum 23.
- 2
35834 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 35834 itself that is 24646, so 35834 is deficient (24646 is less than 35834). Euler's totient φ(35834) = 15840 numbers up to 35834 share no factor with it.
- 4
The digits of 35834 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35834 = 2 \times 19 \times 23 \times 41 \]
35834 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 15840 |
| Square | 1284075556 |
| Cube | 46013563473704 |
| Square root | 189.298706 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5834 × |
35834 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and thirty-four |
| Binary (base 2) | 1000101111111010 |
| Octal (base 8) | 105772 |
| Hexadecimal (base 16) | 8BFA |
| Base 3 | 1211011012 |
| As time | 35834 seconds = 9 h 57 min 14 s |
Is 35834 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35834 ÷ 2 = 17917) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35834 a prime number?
No. 35834 = 2 × 19 × 23 × 41, so it is divisible by 2.
What are the factors of 35834?
1, 2, 19, 23, 38, 41, 46, 82, 437, 779, 874, 943, 1558, 1886, 17917, 35834.
What is 35834 in binary?
1000101111111010 (hexadecimal 8BFA, octal 105772).
What is the square root of 35834?
About 189.2987.
Is 35834 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 35834?
35834 is a Harshad number: divisible by its digit sum 23.