The number 468
468 is a composite number with 18 divisors. Its prime factorisation is × × 13. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156 … 468.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 468: a Harshad number: divisible by its digit sum 18.
- 2
468 is composite. Its prime factorisation is
- 3
The divisors add up to 1274; without 468 itself that is 806, so 468 is abundant (806 is more than 468). Euler's totient φ(468) = 144 numbers up to 468 share no factor with it.
- 4
The digits of 468 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 468 = 2^{2} \times 3^{2} \times 13 \]468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 1274 |
| Euler totient φ(n) | 144 |
| Square | 219024 |
| Cube | 102503232 |
| Square root | 21.633308 (= 6√13) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 22 |
| Scientific notation | 4.68 × |
468 in other forms
| Form | Value |
|---|---|
| In words | four hundred and sixty-eight |
| Roman numerals | CDLXVIII |
| Binary (base 2) | 111010100 |
| Octal (base 8) | 724 |
| Hexadecimal (base 16) | 1D4 |
| Base 3 | 122100 |
| As time | 468 seconds = 7 min 48 s |
Is 468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (468 ÷ 2 = 234) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (468 ÷ 3 = 156) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (468 ÷ 4 = 117) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (468 ÷ 6 = 78) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (468 ÷ 9 = 52) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (468 ÷ 12 = 39) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 468 a prime number?
No. 468 = × × 13, so it is divisible by 2.
What are the factors of 468?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468.
What is 468 in binary?
111010100 (hexadecimal 1D4, octal 724).
What is the square root of 468?
About 21.6333, exactly 6√13.
What is 468 in Roman numerals?
CDLXVIII.
Is 468 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 468?
468 is a Harshad number: divisible by its digit sum 18.