The number 12402
12402 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 53. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 53, 78, 106, 117, 159, 234, 318 … 12402.
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How to work it out
- 1
What is special about 12402: a Harshad number: divisible by its digit sum 9.
- 2
12402 is composite. Its prime factorisation is
- 3
The divisors add up to 29484; without 12402 itself that is 17082, so 12402 is abundant (17082 is more than 12402). Euler's totient φ(12402) = 3744 numbers up to 12402 share no factor with it.
- 4
The digits of 12402 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12402 = 2 \times 3^{2} \times 13 \times 53 \]12402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 29484 |
| Euler totient φ(n) | 3744 |
| Square | 153809604 |
| Cube | 1907546708808 |
| Square root | 111.364267 (= 3√1378) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.2402 × |
12402 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and two |
| Binary (base 2) | 11000001110010 |
| Octal (base 8) | 30162 |
| Hexadecimal (base 16) | 3072 |
| Base 3 | 122000100 |
| As time | 12402 seconds = 3 h 26 min 42 s |
Is 12402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12402 ÷ 2 = 6201) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12402 ÷ 3 = 4134) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (12402 ÷ 6 = 2067) | 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 (12402 ÷ 9 = 1378) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 12402 a prime number?
No. 12402 = 2 × × 13 × 53, so it is divisible by 2.
What are the factors of 12402?
1, 2, 3, 6, 9, 13, 18, 26, 39, 53, 78, 106, 117, 159, 234, 318, 477, 689, 954, 1378, 2067, 4134, 6201, 12402.
What is 12402 in binary?
11000001110010 (hexadecimal 3072, octal 30162).
What is the square root of 12402?
About 111.3643, exactly 3√1378.
Is 12402 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 12402?
12402 is a Harshad number: divisible by its digit sum 9.