The number 3462
3462 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 577. Divisors (8): 1, 2, 3, 6, 577, 1154, 1731, 3462.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3462 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3462 is composite. Its prime factorisation is
- 3
The divisors add up to 6936; without 3462 itself that is 3474, so 3462 is abundant (3474 is more than 3462). Euler's totient φ(3462) = 1152 numbers up to 3462 share no factor with it.
- 4
The digits of 3462 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3462 = 2 \times 3 \times 577 \]
3462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6936 |
| Euler totient φ(n) | 1152 |
| Square | 11985444 |
| Cube | 41493607128 |
| Square root | 58.838763 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.462 × |
3462 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and sixty-two |
| Roman numerals | MMMCDLXII |
| Binary (base 2) | 110110000110 |
| Octal (base 8) | 6606 |
| Hexadecimal (base 16) | D86 |
| Base 3 | 11202020 |
| As time | 3462 seconds = 57 min 42 s |
Is 3462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3462 ÷ 2 = 1731) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3462 ÷ 3 = 1154) | 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 (3462 ÷ 6 = 577) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | 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 3462 a prime number?
No. 3462 = 2 × 3 × 577, so it is divisible by 2.
What are the factors of 3462?
1, 2, 3, 6, 577, 1154, 1731, 3462.
What is 3462 in binary?
110110000110 (hexadecimal D86, octal 6606).
What is the square root of 3462?
About 58.8388.
What is 3462 in Roman numerals?
MMMCDLXII.
Is 3462 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3462?
It is a composite number with 8 divisors.