The number 807
807 is a composite number with 4 divisors. Its prime factorisation is 3 × 269. Divisors (4): 1, 3, 269, 807.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 807: a semiprime: 3 × 269, the product of two primes.
- 2
807 is composite. Its prime factorisation is
- 3
The divisors add up to 1080; without 807 itself that is 273, so 807 is deficient (273 is less than 807). Euler's totient φ(807) = 536 numbers up to 807 share no factor with it.
- 4
The digits of 807 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 807 = 3 \times 269 \]
807 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1080 |
| Euler totient φ(n) | 536 |
| Square | 651249 |
| Cube | 525557943 |
| Square root | 28.407745 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 72 |
| Scientific notation | 8.07 × |
807 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and seven |
| Roman numerals | DCCCVII |
| Binary (base 2) | 1100100111 |
| Octal (base 8) | 1447 |
| Hexadecimal (base 16) | 327 |
| Base 3 | 1002220 |
| As time | 807 seconds = 13 min 27 s |
Is 807 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 | Yes (807 ÷ 3 = 269) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 807 a prime number?
No. 807 = 3 × 269, so it is divisible by 3.
What are the factors of 807?
1, 3, 269, 807.
What is 807 in binary?
1100100111 (hexadecimal 327, octal 1447).
What is the square root of 807?
About 28.4077.
What is 807 in Roman numerals?
DCCCVII.
Is 807 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 807?
807 is a semiprime: 3 × 269, the product of two primes.