The number 1701
1701 is a composite number with 12 divisors. Its prime factorisation is × 7. Divisors (12): 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1701: a Harshad number: divisible by its digit sum 9.
- 2
1701 is composite. Its prime factorisation is
- 3
The divisors add up to 2912; without 1701 itself that is 1211, so 1701 is deficient (1211 is less than 1701). Euler's totient φ(1701) = 972 numbers up to 1701 share no factor with it.
- 4
The digits of 1701 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1701 = 3^{5} \times 7 \]1701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2912 |
| Euler totient φ(n) | 972 |
| Square | 2893401 |
| Cube | 4921675101 |
| Square root | 41.243181 (= 9√21) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.701 × |
1701 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and one |
| Roman numerals | MDCCI |
| Binary (base 2) | 11010100101 |
| Octal (base 8) | 3245 |
| Hexadecimal (base 16) | 6A5 |
| Base 3 | 2100000 |
| As time | 1701 seconds = 28 min 21 s |
Is 1701 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 (1701 ÷ 3 = 567) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (1701 ÷ 7 = 243) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1701 ÷ 9 = 189) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1701 a prime number?
No. 1701 = × 7, so it is divisible by 3.
What are the factors of 1701?
1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701.
What is 1701 in binary?
11010100101 (hexadecimal 6A5, octal 3245).
What is the square root of 1701?
About 41.2432, exactly 9√21.
What is 1701 in Roman numerals?
MDCCI.
Is 1701 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1701?
1701 is a Harshad number: divisible by its digit sum 9.