The number 34137
34137 is a composite number with 6 divisors. Its prime factorisation is × 3793. Divisors (6): 1, 3, 9, 3793, 11379, 34137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34137 is composite. Its prime factorisation is
- 3
The divisors add up to 49322; without 34137 itself that is 15185, so 34137 is deficient (15185 is less than 34137). Euler's totient φ(34137) = 22752 numbers up to 34137 share no factor with it.
- 4
The digits of 34137 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34137 = 3^{2} \times 3793 \]34137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 49322 |
| Euler totient φ(n) | 22752 |
| Square | 1165334769 |
| Cube | 39781033009353 |
| Square root | 184.762009 (= 3√3793) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4137 × |
34137 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand one hundred and thirty-seven |
| Binary (base 2) | 1000010101011001 |
| Octal (base 8) | 102531 |
| Hexadecimal (base 16) | 8559 |
| Base 3 | 1201211100 |
| As time | 34137 seconds = 9 h 28 min 57 s |
Is 34137 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 (34137 ÷ 3 = 11379) | 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 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 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34137 ÷ 9 = 3793) | 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 4) | 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 34137 a prime number?
No. 34137 = × 3793, so it is divisible by 3.
What are the factors of 34137?
1, 3, 9, 3793, 11379, 34137.
What is 34137 in binary?
1000010101011001 (hexadecimal 8559, octal 102531).
What is the square root of 34137?
About 184.7620, exactly 3√3793.
Is 34137 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 34137?
It is a composite number with 6 divisors.