The number 3007
3007 is a composite number with 4 divisors. Its prime factorisation is 31 × 97. Divisors (4): 1, 31, 97, 3007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3007: a semiprime: 31 × 97, the product of two primes.
- 2
3007 is composite. Its prime factorisation is
- 3
The divisors add up to 3136; without 3007 itself that is 129, so 3007 is deficient (129 is less than 3007). Euler's totient φ(3007) = 2880 numbers up to 3007 share no factor with it.
- 4
The digits of 3007 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 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3007 = 31 \times 97 \]
3007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3136 |
| Euler totient φ(n) | 2880 |
| Square | 9042049 |
| Cube | 27189441343 |
| Square root | 54.836119 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 154 |
| Scientific notation | 3.007 × |
3007 in other forms
| Form | Value |
|---|---|
| In words | three thousand and seven |
| Roman numerals | MMMVII |
| Binary (base 2) | 101110111111 |
| Octal (base 8) | 5677 |
| Hexadecimal (base 16) | BBF |
| Base 3 | 11010101 |
| As time | 3007 seconds = 50 min 7 s |
Is 3007 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3007 a prime number?
No. 3007 = 31 × 97, so it is divisible by 31.
What are the factors of 3007?
1, 31, 97, 3007.
What is 3007 in binary?
101110111111 (hexadecimal BBF, octal 5677).
What is the square root of 3007?
About 54.8361.
What is 3007 in Roman numerals?
MMMVII.
Is 3007 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3007?
3007 is a semiprime: 31 × 97, the product of two primes.