The number 34021
34021 is a composite number with 4 divisors. Its prime factorisation is 13 × 2617. Divisors (4): 1, 13, 2617, 34021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34021: a semiprime: 13 × 2617, the product of two primes.
- 2
34021 is composite. Its prime factorisation is
- 3
The divisors add up to 36652; without 34021 itself that is 2631, so 34021 is deficient (2631 is less than 34021). Euler's totient φ(34021) = 31392 numbers up to 34021 share no factor with it.
- 4
The digits of 34021 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34021 = 13 \times 2617 \]
34021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36652 |
| Euler totient φ(n) | 31392 |
| Square | 1157428441 |
| Cube | 39376872991261 |
| Square root | 184.447825 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.4021 × |
34021 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and twenty-one |
| Binary (base 2) | 1000010011100101 |
| Octal (base 8) | 102345 |
| Hexadecimal (base 16) | 84E5 |
| Base 3 | 1201200001 |
| As time | 34021 seconds = 9 h 27 min 1 s |
Is 34021 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 1) | 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 | 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 1) | 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 | No (remainder 9) | 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 34021 a prime number?
No. 34021 = 13 × 2617, so it is divisible by 13.
What are the factors of 34021?
1, 13, 2617, 34021.
What is 34021 in binary?
1000010011100101 (hexadecimal 84E5, octal 102345).
What is the square root of 34021?
About 184.4478.
Is 34021 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 34021?
34021 is a semiprime: 13 × 2617, the product of two primes.