The number 34331
34331 is a composite number with 4 divisors. Its prime factorisation is 11 × 3121. Divisors (4): 1, 11, 3121, 34331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34331: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3121, the product of two primes.
- 2
34331 is composite. Its prime factorisation is
- 3
The divisors add up to 37464; without 34331 itself that is 3133, so 34331 is deficient (3133 is less than 34331). Euler's totient φ(34331) = 31200 numbers up to 34331 share no factor with it.
- 4
The digits of 34331 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34331 = 11 \times 3121 \]
34331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37464 |
| Euler totient φ(n) | 31200 |
| Square | 1178617561 |
| Cube | 40463119486691 |
| Square root | 185.286265 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.4331 × |
34331 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand three hundred and thirty-one |
| Binary (base 2) | 1000011000011011 |
| Octal (base 8) | 103033 |
| Hexadecimal (base 16) | 861B |
| Base 3 | 1202002112 |
| As time | 34331 seconds = 9 h 32 min 11 s |
Is 34331 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34331 ÷ 11 = 3121) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34331 a prime number?
No. 34331 = 11 × 3121, so it is divisible by 11.
What are the factors of 34331?
1, 11, 3121, 34331.
What is 34331 in binary?
1000011000011011 (hexadecimal 861B, octal 103033).
What is the square root of 34331?
About 185.2863.
Is 34331 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 34331?
34331 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3121, the product of two primes.