The number 3464
3464 is a composite number with 8 divisors. Its prime factorisation is × 433. Divisors (8): 1, 2, 4, 8, 433, 866, 1732, 3464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3464 is composite. Its prime factorisation is
- 3
The divisors add up to 6510; without 3464 itself that is 3046, so 3464 is deficient (3046 is less than 3464). Euler's totient φ(3464) = 1728 numbers up to 3464 share no factor with it.
- 4
The digits of 3464 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3464 = 2^{3} \times 433 \]3464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6510 |
| Euler totient φ(n) | 1728 |
| Square | 11999296 |
| Cube | 41565561344 |
| Square root | 58.855756 (= 2√866) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.464 × |
3464 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and sixty-four |
| Roman numerals | MMMCDLXIV |
| Binary (base 2) | 110110001000 |
| Octal (base 8) | 6610 |
| Hexadecimal (base 16) | D88 |
| Base 3 | 11202022 |
| As time | 3464 seconds = 57 min 44 s |
Is 3464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3464 ÷ 2 = 1732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3464 ÷ 4 = 866) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (3464 ÷ 8 = 433) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3464 a prime number?
No. 3464 = × 433, so it is divisible by 2.
What are the factors of 3464?
1, 2, 4, 8, 433, 866, 1732, 3464.
What is 3464 in binary?
110110001000 (hexadecimal D88, octal 6610).
What is the square root of 3464?
About 58.8558, exactly 2√866.
What is 3464 in Roman numerals?
MMMCDLXIV.
Is 3464 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3464?
It is a composite number with 8 divisors.