The number 2301
2301 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 59. Divisors (8): 1, 3, 13, 39, 59, 177, 767, 2301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2301 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2301 is composite. Its prime factorisation is
- 3
The divisors add up to 3360; without 2301 itself that is 1059, so 2301 is deficient (1059 is less than 2301). Euler's totient φ(2301) = 1392 numbers up to 2301 share no factor with it.
- 4
The digits of 2301 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2301 = 3 \times 13 \times 59 \]
2301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3360 |
| Euler totient φ(n) | 1392 |
| Square | 5294601 |
| Cube | 12182876901 |
| Square root | 47.968740 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.301 × |
2301 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and one |
| Roman numerals | MMCCCI |
| Binary (base 2) | 100011111101 |
| Octal (base 8) | 4375 |
| Hexadecimal (base 16) | 8FD |
| Base 3 | 10011020 |
| As time | 2301 seconds = 38 min 21 s |
Is 2301 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 (2301 ÷ 3 = 767) | 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 5) | 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 | No (remainder 6) | 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 2) | 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 2301 a prime number?
No. 2301 = 3 × 13 × 59, so it is divisible by 3.
What are the factors of 2301?
1, 3, 13, 39, 59, 177, 767, 2301.
What is 2301 in binary?
100011111101 (hexadecimal 8FD, octal 4375).
What is the square root of 2301?
About 47.9687.
What is 2301 in Roman numerals?
MMCCCI.
Is 2301 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 2301?
It is a composite number with 8 divisors.