The number 34133
34133 is a composite number with 8 divisors. Its prime factorisation is 11 × 29 × 107. Divisors (8): 1, 11, 29, 107, 319, 1177, 3103, 34133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34133: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34133 is composite. Its prime factorisation is
- 3
The divisors add up to 38880; without 34133 itself that is 4747, so 34133 is deficient (4747 is less than 34133). Euler's totient φ(34133) = 29680 numbers up to 34133 share no factor with it.
- 4
The digits of 34133 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34133 = 11 \times 29 \times 107 \]
34133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38880 |
| Euler totient φ(n) | 29680 |
| Square | 1165061689 |
| Cube | 39767050630637 |
| Square root | 184.751184 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.4133 × |
34133 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand one hundred and thirty-three |
| Binary (base 2) | 1000010101010101 |
| Octal (base 8) | 102525 |
| Hexadecimal (base 16) | 8555 |
| Base 3 | 1201211012 |
| As time | 34133 seconds = 9 h 28 min 53 s |
Is 34133 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 3) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34133 ÷ 11 = 3103) | 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 34133 a prime number?
No. 34133 = 11 × 29 × 107, so it is divisible by 11.
What are the factors of 34133?
1, 11, 29, 107, 319, 1177, 3103, 34133.
What is 34133 in binary?
1000010101010101 (hexadecimal 8555, octal 102525).
What is the square root of 34133?
About 184.7512.
Is 34133 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 34133?
34133 is a happy number: repeatedly adding the squares of its digits reaches 1.