The number 34007
34007 is a composite number with 4 divisors. Its prime factorisation is 31 × 1097. Divisors (4): 1, 31, 1097, 34007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34007: a semiprime: 31 × 1097, the product of two primes.
- 2
34007 is composite. Its prime factorisation is
- 3
The divisors add up to 35136; without 34007 itself that is 1129, so 34007 is deficient (1129 is less than 34007). Euler's totient φ(34007) = 32880 numbers up to 34007 share no factor with it.
- 4
The digits of 34007 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34007 = 31 \times 1097 \]
34007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 35136 |
| Euler totient φ(n) | 32880 |
| Square | 1156476049 |
| Cube | 39328280998343 |
| Square root | 184.409870 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.4007 × |
34007 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and seven |
| Binary (base 2) | 1000010011010111 |
| Octal (base 8) | 102327 |
| Hexadecimal (base 16) | 84D7 |
| Base 3 | 1201122112 |
| As time | 34007 seconds = 9 h 26 min 47 s |
Is 34007 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 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 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 7) | 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 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34007 a prime number?
No. 34007 = 31 × 1097, so it is divisible by 31.
What are the factors of 34007?
1, 31, 1097, 34007.
What is 34007 in binary?
1000010011010111 (hexadecimal 84D7, octal 102327).
What is the square root of 34007?
About 184.4099.
Is 34007 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 34007?
34007 is a semiprime: 31 × 1097, the product of two primes.