The number 34167
34167 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1627. Divisors (8): 1, 3, 7, 21, 1627, 4881, 11389, 34167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34167: a Harshad number: divisible by its digit sum 21.
- 2
34167 is composite. Its prime factorisation is
- 3
The divisors add up to 52096; without 34167 itself that is 17929, so 34167 is deficient (17929 is less than 34167). Euler's totient φ(34167) = 19512 numbers up to 34167 share no factor with it.
- 4
The digits of 34167 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34167 = 3 \times 7 \times 1627 \]
34167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52096 |
| Euler totient φ(n) | 19512 |
| Square | 1167383889 |
| Cube | 39886005335463 |
| Square root | 184.843177 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4167 × |
34167 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand one hundred and sixty-seven |
| Binary (base 2) | 1000010101110111 |
| Octal (base 8) | 102567 |
| Hexadecimal (base 16) | 8577 |
| Base 3 | 1201212110 |
| As time | 34167 seconds = 9 h 29 min 27 s |
Is 34167 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 (34167 ÷ 3 = 11389) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (34167 ÷ 7 = 4881) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34167 a prime number?
No. 34167 = 3 × 7 × 1627, so it is divisible by 3.
What are the factors of 34167?
1, 3, 7, 21, 1627, 4881, 11389, 34167.
What is 34167 in binary?
1000010101110111 (hexadecimal 8577, octal 102567).
What is the square root of 34167?
About 184.8432.
Is 34167 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 34167?
34167 is a Harshad number: divisible by its digit sum 21.