The number 3466
3466 is a composite number with 4 divisors. Its prime factorisation is 2 × 1733. Divisors (4): 1, 2, 1733, 3466.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3466: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 1733, the product of two primes.
- 2
3466 is composite. Its prime factorisation is
- 3
The divisors add up to 5202; without 3466 itself that is 1736, so 3466 is deficient (1736 is less than 3466). Euler's totient φ(3466) = 1732 numbers up to 3466 share no factor with it.
- 4
The digits of 3466 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3466 = 2 \times 1733 \]
3466 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5202 |
| Euler totient φ(n) | 1732 |
| Square | 12013156 |
| Cube | 41637598696 |
| Square root | 58.872744 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.466 × |
3466 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and sixty-six |
| Roman numerals | MMMCDLXVI |
| Binary (base 2) | 110110001010 |
| Octal (base 8) | 6612 |
| Hexadecimal (base 16) | D8A |
| Base 3 | 11202101 |
| As time | 3466 seconds = 57 min 46 s |
Is 3466 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3466 ÷ 2 = 1733) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3466 a prime number?
No. 3466 = 2 × 1733, so it is divisible by 2.
What are the factors of 3466?
1, 2, 1733, 3466.
What is 3466 in binary?
110110001010 (hexadecimal D8A, octal 6612).
What is the square root of 3466?
About 58.8727.
What is 3466 in Roman numerals?
MMMCDLXVI.
Is 3466 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3466?
3466 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 1733, the product of two primes.