The number 15426
15426 is a composite number with 12 divisors. Its prime factorisation is 2 × × 857. Divisors (12): 1, 2, 3, 6, 9, 18, 857, 1714, 2571, 5142, 7713, 15426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15426: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
15426 is composite. Its prime factorisation is
- 3
The divisors add up to 33462; without 15426 itself that is 18036, so 15426 is abundant (18036 is more than 15426). Euler's totient φ(15426) = 5136 numbers up to 15426 share no factor with it.
- 4
The digits of 15426 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 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15426 = 2 \times 3^{2} \times 857 \]15426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 33462 |
| Euler totient φ(n) | 5136 |
| Square | 237961476 |
| Cube | 3670793728776 |
| Square root | 124.201449 (= 3√1714) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.5426 × |
15426 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and twenty-six |
| Binary (base 2) | 11110001000010 |
| Octal (base 8) | 36102 |
| Hexadecimal (base 16) | 3C42 |
| Base 3 | 210011100 |
| As time | 15426 seconds = 4 h 17 min 6 s |
Is 15426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15426 ÷ 2 = 7713) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15426 ÷ 3 = 5142) | 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 | Yes (15426 ÷ 6 = 2571) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15426 ÷ 9 = 1714) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15426 a prime number?
No. 15426 = 2 × × 857, so it is divisible by 2.
What are the factors of 15426?
1, 2, 3, 6, 9, 18, 857, 1714, 2571, 5142, 7713, 15426.
What is 15426 in binary?
11110001000010 (hexadecimal 3C42, octal 36102).
What is the square root of 15426?
About 124.2014, exactly 3√1714.
Is 15426 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15426?
15426 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.