The number 464
464 is a palindrome: it reads 464 backwards too. Its prime factorisation is × 29. Divisors (10): 1, 2, 4, 8, 16, 29, 58, 116, 232, 464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 464: a palindrome: it reads 464 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
464 is composite. Its prime factorisation is
- 3
The divisors add up to 930; without 464 itself that is 466, so 464 is abundant (466 is more than 464). Euler's totient φ(464) = 224 numbers up to 464 share no factor with it.
- 4
The digits of 464 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 464 = 2^{4} \times 29 \]464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 930 |
| Euler totient φ(n) | 224 |
| Square | 215296 |
| Cube | 99897344 |
| Square root | 21.540659 (= 4√29) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 22 |
| Scientific notation | 4.64 × |
464 in other forms
| Form | Value |
|---|---|
| In words | four hundred and sixty-four |
| Roman numerals | CDLXIV |
| Binary (base 2) | 111010000 |
| Octal (base 8) | 720 |
| Hexadecimal (base 16) | 1D0 |
| Base 3 | 122012 |
| As time | 464 seconds = 7 min 44 s |
Is 464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (464 ÷ 2 = 232) | 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 (464 ÷ 4 = 116) | 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 2) | 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 (464 ÷ 8 = 58) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | 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 464 a prime number?
No. 464 = × 29, so it is divisible by 2.
What are the factors of 464?
1, 2, 4, 8, 16, 29, 58, 116, 232, 464.
What is 464 in binary?
111010000 (hexadecimal 1D0, octal 720).
What is the square root of 464?
About 21.5407, exactly 4√29.
What is 464 in Roman numerals?
CDLXIV.
Is 464 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 464?
464 is a palindrome: it reads 464 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.