The number 7101
7101 is a composite number with 8 divisors. Its prime factorisation is × 263. Divisors (8): 1, 3, 9, 27, 263, 789, 2367, 7101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7101: a Harshad number: divisible by its digit sum 9.
- 2
7101 is composite. Its prime factorisation is
- 3
The divisors add up to 10560; without 7101 itself that is 3459, so 7101 is deficient (3459 is less than 7101). Euler's totient φ(7101) = 4716 numbers up to 7101 share no factor with it.
- 4
The digits of 7101 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7101 = 3^{3} \times 263 \]7101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10560 |
| Euler totient φ(n) | 4716 |
| Square | 50424201 |
| Cube | 358062251301 |
| Square root | 84.267431 (= 3√789) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 7.101 × |
7101 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and one |
| Binary (base 2) | 1101110111101 |
| Octal (base 8) | 15675 |
| Hexadecimal (base 16) | 1BBD |
| Base 3 | 100202000 |
| As time | 7101 seconds = 1 h 58 min 21 s |
Is 7101 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 (7101 ÷ 3 = 2367) | 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 | No (remainder 3) | 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 (7101 ÷ 9 = 789) | 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 6) | 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 7101 a prime number?
No. 7101 = × 263, so it is divisible by 3.
What are the factors of 7101?
1, 3, 9, 27, 263, 789, 2367, 7101.
What is 7101 in binary?
1101110111101 (hexadecimal 1BBD, octal 15675).
What is the square root of 7101?
About 84.2674, exactly 3√789.
Is 7101 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 7101?
7101 is a Harshad number: divisible by its digit sum 9.