The number 23427
23427 is a composite number with 12 divisors. Its prime factorisation is × 19 × 137. Divisors (12): 1, 3, 9, 19, 57, 137, 171, 411, 1233, 2603, 7809, 23427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23427: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23427 is composite. Its prime factorisation is
- 3
The divisors add up to 35880; without 23427 itself that is 12453, so 23427 is deficient (12453 is less than 23427). Euler's totient φ(23427) = 14688 numbers up to 23427 share no factor with it.
- 4
The digits of 23427 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23427 = 3^{2} \times 19 \times 137 \]23427 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35880 |
| Euler totient φ(n) | 14688 |
| Square | 548824329 |
| Cube | 12857307555483 |
| Square root | 153.058812 (= 3√2603) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3427 × |
23427 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and twenty-seven |
| Binary (base 2) | 101101110000011 |
| Octal (base 8) | 55603 |
| Hexadecimal (base 16) | 5B83 |
| Base 3 | 1012010200 |
| As time | 23427 seconds = 6 h 30 min 27 s |
Is 23427 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 (23427 ÷ 3 = 7809) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23427 ÷ 9 = 2603) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23427 a prime number?
No. 23427 = × 19 × 137, so it is divisible by 3.
What are the factors of 23427?
1, 3, 9, 19, 57, 137, 171, 411, 1233, 2603, 7809, 23427.
What is 23427 in binary?
101101110000011 (hexadecimal 5B83, octal 55603).
What is the square root of 23427?
About 153.0588, exactly 3√2603.
Is 23427 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23427?
23427 is a happy number: repeatedly adding the squares of its digits reaches 1.