The number 23101
23101 is a composite number with 4 divisors. Its prime factorisation is 13 × 1777. Divisors (4): 1, 13, 1777, 23101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23101: a semiprime: 13 × 1777, the product of two primes.
- 2
23101 is composite. Its prime factorisation is
- 3
The divisors add up to 24892; without 23101 itself that is 1791, so 23101 is deficient (1791 is less than 23101). Euler's totient φ(23101) = 21312 numbers up to 23101 share no factor with it.
- 4
The digits of 23101 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23101 = 13 \times 1777 \]
23101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 24892 |
| Euler totient φ(n) | 21312 |
| Square | 533656201 |
| Cube | 12327991899301 |
| Square root | 151.990131 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.3101 × |
23101 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand one hundred and one |
| Binary (base 2) | 101101000111101 |
| Octal (base 8) | 55075 |
| Hexadecimal (base 16) | 5A3D |
| Base 3 | 1011200121 |
| As time | 23101 seconds = 6 h 25 min 1 s |
Is 23101 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23101 a prime number?
No. 23101 = 13 × 1777, so it is divisible by 13.
What are the factors of 23101?
1, 13, 1777, 23101.
What is 23101 in binary?
101101000111101 (hexadecimal 5A3D, octal 55075).
What is the square root of 23101?
About 151.9901.
Is 23101 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 23101?
23101 is a semiprime: 13 × 1777, the product of two primes.