The number 23426
23426 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 17 × 53. Divisors (16): 1, 2, 13, 17, 26, 34, 53, 106, 221, 442, 689, 901, 1378, 1802, 11713, 23426.
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How to work it out
- 1
What is special about 23426: a Harshad number: divisible by its digit sum 17.
- 2
23426 is composite. Its prime factorisation is
- 3
The divisors add up to 40824; without 23426 itself that is 17398, so 23426 is deficient (17398 is less than 23426). Euler's totient φ(23426) = 9984 numbers up to 23426 share no factor with it.
- 4
The digits of 23426 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23426 = 2 \times 13 \times 17 \times 53 \]
23426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 40824 |
| Euler totient φ(n) | 9984 |
| Square | 548777476 |
| Cube | 12855661152776 |
| Square root | 153.055545 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3426 × |
23426 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and twenty-six |
| Binary (base 2) | 101101110000010 |
| Octal (base 8) | 55602 |
| Hexadecimal (base 16) | 5B82 |
| Base 3 | 1012010122 |
| As time | 23426 seconds = 6 h 30 min 26 s |
Is 23426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23426 ÷ 2 = 11713) | 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 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23426 a prime number?
No. 23426 = 2 × 13 × 17 × 53, so it is divisible by 2.
What are the factors of 23426?
1, 2, 13, 17, 26, 34, 53, 106, 221, 442, 689, 901, 1378, 1802, 11713, 23426.
What is 23426 in binary?
101101110000010 (hexadecimal 5B82, octal 55602).
What is the square root of 23426?
About 153.0555.
Is 23426 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 23426?
23426 is a Harshad number: divisible by its digit sum 17.