The number 3486
3486 is a triangular number: 1 + 2 + … + 83 = 3486. Its prime factorisation is 2 × 3 × 7 × 83. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3486: a triangular number: 1 + 2 + … + 83 = 3486; a Harshad number: divisible by its digit sum 21.
- 2
3486 is composite. Its prime factorisation is
- 3
The divisors add up to 8064; without 3486 itself that is 4578, so 3486 is abundant (4578 is more than 3486). Euler's totient φ(3486) = 984 numbers up to 3486 share no factor with it.
- 4
The digits of 3486 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3486 = 2 \times 3 \times 7 \times 83 \]
3486 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8064 |
| Euler totient φ(n) | 984 |
| Square | 12152196 |
| Cube | 42362555256 |
| Square root | 59.042358 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 180 |
| Scientific notation | 3.486 × |
3486 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and eighty-six |
| Roman numerals | MMMCDLXXXVI |
| Binary (base 2) | 110110011110 |
| Octal (base 8) | 6636 |
| Hexadecimal (base 16) | D9E |
| Base 3 | 11210010 |
| As time | 3486 seconds = 58 min 6 s |
Is 3486 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3486 ÷ 2 = 1743) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3486 ÷ 3 = 1162) | 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 (3486 ÷ 6 = 581) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3486 ÷ 7 = 498) | 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 3) | 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 10) | 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 3486 a prime number?
No. 3486 = 2 × 3 × 7 × 83, so it is divisible by 2.
What are the factors of 3486?
1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486.
What is 3486 in binary?
110110011110 (hexadecimal D9E, octal 6636).
What is the square root of 3486?
About 59.0424.
What is 3486 in Roman numerals?
MMMCDLXXXVI.
Is 3486 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3486?
3486 is a triangular number: 1 + 2 + … + 83 = 3486; a Harshad number: divisible by its digit sum 21.