The number 23420
23420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1171. Divisors (12): 1, 2, 4, 5, 10, 20, 1171, 2342, 4684, 5855, 11710, 23420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23420 is composite. Its prime factorisation is
- 3
The divisors add up to 49224; without 23420 itself that is 25804, so 23420 is abundant (25804 is more than 23420). Euler's totient φ(23420) = 9360 numbers up to 23420 share no factor with it.
- 4
The digits of 23420 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23420 = 2^{2} \times 5 \times 1171 \]23420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49224 |
| Euler totient φ(n) | 9360 |
| Square | 548496400 |
| Cube | 12845785688000 |
| Square root | 153.035943 (= 2√5855) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.342 × |
23420 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and twenty |
| Binary (base 2) | 101101101111100 |
| Octal (base 8) | 55574 |
| Hexadecimal (base 16) | 5B7C |
| Base 3 | 1012010102 |
| As time | 23420 seconds = 6 h 30 min 20 s |
Is 23420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23420 ÷ 2 = 11710) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23420 ÷ 4 = 5855) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23420 ÷ 5 = 4684) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23420 ÷ 10 = 2342) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23420 a prime number?
No. 23420 = × 5 × 1171, so it is divisible by 2.
What are the factors of 23420?
1, 2, 4, 5, 10, 20, 1171, 2342, 4684, 5855, 11710, 23420.
What is 23420 in binary?
101101101111100 (hexadecimal 5B7C, octal 55574).
What is the square root of 23420?
About 153.0359, exactly 2√5855.
Is 23420 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 23420?
It is a composite number with 12 divisors.