The number 1007
1007 is a composite number with 4 divisors. Its prime factorisation is 19 × 53. Divisors (4): 1, 19, 53, 1007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1007: a semiprime: 19 × 53, the product of two primes.
- 2
1007 is composite. Its prime factorisation is
- 3
The divisors add up to 1080; without 1007 itself that is 73, so 1007 is deficient (73 is less than 1007). Euler's totient φ(1007) = 936 numbers up to 1007 share no factor with it.
- 4
The digits of 1007 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1007 = 19 \times 53 \]
1007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1080 |
| Euler totient φ(n) | 936 |
| Square | 1014049 |
| Cube | 1021147343 |
| Square root | 31.733263 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 93 |
| Scientific notation | 1.007 × |
1007 in other forms
| Form | Value |
|---|---|
| In words | one thousand and seven |
| Roman numerals | MVII |
| Binary (base 2) | 1111101111 |
| Octal (base 8) | 1757 |
| Hexadecimal (base 16) | 3EF |
| Base 3 | 1101022 |
| As time | 1007 seconds = 16 min 47 s |
Is 1007 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 6) | 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 8) | 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 1007 a prime number?
No. 1007 = 19 × 53, so it is divisible by 19.
What are the factors of 1007?
1, 19, 53, 1007.
What is 1007 in binary?
1111101111 (hexadecimal 3EF, octal 1757).
What is the square root of 1007?
About 31.7333.
What is 1007 in Roman numerals?
MVII.
Is 1007 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1007?
1007 is a semiprime: 19 × 53, the product of two primes.