The number 12492
12492 is a composite number with 18 divisors. Its prime factorisation is × × 347. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 347, 694, 1041, 1388, 2082, 3123, 4164 … 12492.
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How to work it out
- 1
What is special about 12492: a Harshad number: divisible by its digit sum 18.
- 2
12492 is composite. Its prime factorisation is
- 3
The divisors add up to 31668; without 12492 itself that is 19176, so 12492 is abundant (19176 is more than 12492). Euler's totient φ(12492) = 4152 numbers up to 12492 share no factor with it.
- 4
The digits of 12492 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12492 = 2^{2} \times 3^{2} \times 347 \]12492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 31668 |
| Euler totient φ(n) | 4152 |
| Square | 156050064 |
| Cube | 1949377399488 |
| Square root | 111.767616 (= 6√347) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2492 × |
12492 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and ninety-two |
| Binary (base 2) | 11000011001100 |
| Octal (base 8) | 30314 |
| Hexadecimal (base 16) | 30CC |
| Base 3 | 122010200 |
| As time | 12492 seconds = 3 h 28 min 12 s |
Is 12492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12492 ÷ 2 = 6246) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12492 ÷ 3 = 4164) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12492 ÷ 4 = 3123) | 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 (12492 ÷ 6 = 2082) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (12492 ÷ 9 = 1388) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (12492 ÷ 12 = 1041) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12492 a prime number?
No. 12492 = × × 347, so it is divisible by 2.
What are the factors of 12492?
1, 2, 3, 4, 6, 9, 12, 18, 36, 347, 694, 1041, 1388, 2082, 3123, 4164, 6246, 12492.
What is 12492 in binary?
11000011001100 (hexadecimal 30CC, octal 30314).
What is the square root of 12492?
About 111.7676, exactly 6√347.
Is 12492 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12492?
12492 is a Harshad number: divisible by its digit sum 18.