The number 1464
1464 is a composite number with 16 divisors. Its prime factorisation is × 3 × 61. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1464 is composite. Its prime factorisation is
- 3
The divisors add up to 3720; without 1464 itself that is 2256, so 1464 is abundant (2256 is more than 1464). Euler's totient φ(1464) = 480 numbers up to 1464 share no factor with it.
- 4
The digits of 1464 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1464 = 2^{3} \times 3 \times 61 \]1464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3720 |
| Euler totient φ(n) | 480 |
| Square | 2143296 |
| Cube | 3137785344 |
| Square root | 38.262253 (= 2√366) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 1.464 × |
1464 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and sixty-four |
| Roman numerals | MCDLXIV |
| Binary (base 2) | 10110111000 |
| Octal (base 8) | 2670 |
| Hexadecimal (base 16) | 5B8 |
| Base 3 | 2000020 |
| As time | 1464 seconds = 24 min 24 s |
Is 1464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1464 ÷ 2 = 732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1464 ÷ 3 = 488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1464 ÷ 4 = 366) | 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 | Yes (1464 ÷ 6 = 244) | 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 | Yes (1464 ÷ 8 = 183) | 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 4) | 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 | Yes (1464 ÷ 12 = 122) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1464 a prime number?
No. 1464 = × 3 × 61, so it is divisible by 2.
What are the factors of 1464?
1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464.
What is 1464 in binary?
10110111000 (hexadecimal 5B8, octal 2670).
What is the square root of 1464?
About 38.2623, exactly 2√366.
What is 1464 in Roman numerals?
MCDLXIV.
Is 1464 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1464?
It is a composite number with 16 divisors.