The number 3492
3492 is a composite number with 18 divisors. Its prime factorisation is × × 97. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164 … 3492.
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How to work it out
- 1
What is special about 3492: a Harshad number: divisible by its digit sum 18.
- 2
3492 is composite. Its prime factorisation is
- 3
The divisors add up to 8918; without 3492 itself that is 5426, so 3492 is abundant (5426 is more than 3492). Euler's totient φ(3492) = 1152 numbers up to 3492 share no factor with it.
- 4
The digits of 3492 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 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3492 = 2^{2} \times 3^{2} \times 97 \]3492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 8918 |
| Euler totient φ(n) | 1152 |
| Square | 12194064 |
| Cube | 42581671488 |
| Square root | 59.093147 (= 6√97) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.492 × |
3492 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and ninety-two |
| Roman numerals | MMMCDXCII |
| Binary (base 2) | 110110100100 |
| Octal (base 8) | 6644 |
| Hexadecimal (base 16) | DA4 |
| Base 3 | 11210100 |
| As time | 3492 seconds = 58 min 12 s |
Is 3492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3492 ÷ 2 = 1746) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3492 ÷ 3 = 1164) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3492 ÷ 4 = 873) | 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 (3492 ÷ 6 = 582) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (3492 ÷ 9 = 388) | 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 | Yes (3492 ÷ 12 = 291) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3492 a prime number?
No. 3492 = × × 97, so it is divisible by 2.
What are the factors of 3492?
1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492.
What is 3492 in binary?
110110100100 (hexadecimal DA4, octal 6644).
What is the square root of 3492?
About 59.0931, exactly 6√97.
What is 3492 in Roman numerals?
MMMCDXCII.
Is 3492 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3492?
3492 is a Harshad number: divisible by its digit sum 18.