The number 707
707 is a palindrome: it reads 707 backwards too. Its prime factorisation is 7 × 101. Divisors (4): 1, 7, 101, 707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 707: a palindrome: it reads 707 backwards too; a semiprime: 7 × 101, the product of two primes.
- 2
707 is composite. Its prime factorisation is
- 3
The divisors add up to 816; without 707 itself that is 109, so 707 is deficient (109 is less than 707). Euler's totient φ(707) = 600 numbers up to 707 share no factor with it.
- 4
The digits of 707 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 707 = 7 \times 101 \]
707 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 816 |
| Euler totient φ(n) | 600 |
| Square | 499849 |
| Cube | 353393243 |
| Square root | 26.589472 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 126 |
| Scientific notation | 7.07 × |
707 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and seven |
| Roman numerals | DCCVII |
| Binary (base 2) | 1011000011 |
| Octal (base 8) | 1303 |
| Hexadecimal (base 16) | 2C3 |
| Base 3 | 222012 |
| As time | 707 seconds = 11 min 47 s |
Is 707 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 | Yes (707 ÷ 7 = 101) | 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 3) | 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 3) | 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 707 a prime number?
No. 707 = 7 × 101, so it is divisible by 7.
What are the factors of 707?
1, 7, 101, 707.
What is 707 in binary?
1011000011 (hexadecimal 2C3, octal 1303).
What is the square root of 707?
About 26.5895.
What is 707 in Roman numerals?
DCCVII.
Is 707 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 707?
707 is a palindrome: it reads 707 backwards too; a semiprime: 7 × 101, the product of two primes.