The number 23421
23421 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 211. Divisors (8): 1, 3, 37, 111, 211, 633, 7807, 23421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23421 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23421 is composite. Its prime factorisation is
- 3
The divisors add up to 32224; without 23421 itself that is 8803, so 23421 is deficient (8803 is less than 23421). Euler's totient φ(23421) = 15120 numbers up to 23421 share no factor with it.
- 4
The digits of 23421 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23421 = 3 \times 37 \times 211 \]
23421 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32224 |
| Euler totient φ(n) | 15120 |
| Square | 548543241 |
| Cube | 12847431247461 |
| Square root | 153.039211 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.3421 × |
23421 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and twenty-one |
| Binary (base 2) | 101101101111101 |
| Octal (base 8) | 55575 |
| Hexadecimal (base 16) | 5B7D |
| Base 3 | 1012010110 |
| As time | 23421 seconds = 6 h 30 min 21 s |
Is 23421 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 (23421 ÷ 3 = 7807) | 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 6) | 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 3) | 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 23421 a prime number?
No. 23421 = 3 × 37 × 211, so it is divisible by 3.
What are the factors of 23421?
1, 3, 37, 111, 211, 633, 7807, 23421.
What is 23421 in binary?
101101101111101 (hexadecimal 5B7D, octal 55575).
What is the square root of 23421?
About 153.0392.
Is 23421 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 23421?
It is a composite number with 8 divisors.