The number 32137
32137 is a composite number with 4 divisors. Its prime factorisation is 7 × 4591. Divisors (4): 1, 7, 4591, 32137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32137: a semiprime: 7 × 4591, the product of two primes.
- 2
32137 is composite. Its prime factorisation is
- 3
The divisors add up to 36736; without 32137 itself that is 4599, so 32137 is deficient (4599 is less than 32137). Euler's totient φ(32137) = 27540 numbers up to 32137 share no factor with it.
- 4
The digits of 32137 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32137 = 7 \times 4591 \]
32137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36736 |
| Euler totient φ(n) | 27540 |
| Square | 1032786769 |
| Cube | 33190668395353 |
| Square root | 179.267956 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2137 × |
32137 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and thirty-seven |
| Binary (base 2) | 111110110001001 |
| Octal (base 8) | 76611 |
| Hexadecimal (base 16) | 7D89 |
| Base 3 | 1122002021 |
| As time | 32137 seconds = 8 h 55 min 37 s |
Is 32137 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32137 ÷ 7 = 4591) | 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 | No (remainder 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32137 a prime number?
No. 32137 = 7 × 4591, so it is divisible by 7.
What are the factors of 32137?
1, 7, 4591, 32137.
What is 32137 in binary?
111110110001001 (hexadecimal 7D89, octal 76611).
What is the square root of 32137?
About 179.2680.
Is 32137 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 32137?
32137 is a semiprime: 7 × 4591, the product of two primes.