The number 33137
33137 is a composite number with 4 divisors. Its prime factorisation is 13 × 2549. Divisors (4): 1, 13, 2549, 33137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33137: a semiprime: 13 × 2549, the product of two primes.
- 2
33137 is composite. Its prime factorisation is
- 3
The divisors add up to 35700; without 33137 itself that is 2563, so 33137 is deficient (2563 is less than 33137). Euler's totient φ(33137) = 30576 numbers up to 33137 share no factor with it.
- 4
The digits of 33137 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33137 = 13 \times 2549 \]
33137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 35700 |
| Euler totient φ(n) | 30576 |
| Square | 1098060769 |
| Cube | 36386439702353 |
| Square root | 182.035711 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3137 × |
33137 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and thirty-seven |
| Binary (base 2) | 1000000101110001 |
| Octal (base 8) | 100561 |
| Hexadecimal (base 16) | 8171 |
| Base 3 | 1200110022 |
| As time | 33137 seconds = 9 h 12 min 17 s |
Is 33137 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 2) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33137 a prime number?
No. 33137 = 13 × 2549, so it is divisible by 13.
What are the factors of 33137?
1, 13, 2549, 33137.
What is 33137 in binary?
1000000101110001 (hexadecimal 8171, octal 100561).
What is the square root of 33137?
About 182.0357.
Is 33137 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33137?
33137 is a semiprime: 13 × 2549, the product of two primes.