The number 37134
37134 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2063. Divisors (12): 1, 2, 3, 6, 9, 18, 2063, 4126, 6189, 12378, 18567, 37134.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37134: a Harshad number: divisible by its digit sum 18.
- 2
37134 is composite. Its prime factorisation is
- 3
The divisors add up to 80496; without 37134 itself that is 43362, so 37134 is abundant (43362 is more than 37134). Euler's totient φ(37134) = 12372 numbers up to 37134 share no factor with it.
- 4
The digits of 37134 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37134 = 2 \times 3^{2} \times 2063 \]37134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80496 |
| Euler totient φ(n) | 12372 |
| Square | 1378933956 |
| Cube | 51205333522104 |
| Square root | 192.701842 (= 3√4126) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.7134 × |
37134 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and thirty-four |
| Binary (base 2) | 1001000100001110 |
| Octal (base 8) | 110416 |
| Hexadecimal (base 16) | 910E |
| Base 3 | 1212221100 |
| As time | 37134 seconds = 10 h 18 min 54 s |
Is 37134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37134 ÷ 2 = 18567) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37134 ÷ 3 = 12378) | 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 | Yes (37134 ÷ 6 = 6189) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (37134 ÷ 9 = 4126) | 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 9) | 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 37134 a prime number?
No. 37134 = 2 × × 2063, so it is divisible by 2.
What are the factors of 37134?
1, 2, 3, 6, 9, 18, 2063, 4126, 6189, 12378, 18567, 37134.
What is 37134 in binary?
1001000100001110 (hexadecimal 910E, octal 110416).
What is the square root of 37134?
About 192.7018, exactly 3√4126.
Is 37134 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 37134?
37134 is a Harshad number: divisible by its digit sum 18.