The number 262
262 is a palindrome: it reads 262 backwards too. Its prime factorisation is 2 × 131. Divisors (4): 1, 2, 131, 262.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 262: a palindrome: it reads 262 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 131, the product of two primes.
- 2
262 is composite. Its prime factorisation is
- 3
The divisors add up to 396; without 262 itself that is 134, so 262 is deficient (134 is less than 262). Euler's totient φ(262) = 130 numbers up to 262 share no factor with it.
- 4
The digits of 262 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 262 = 2 \times 131 \]
262 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 396 |
| Euler totient φ(n) | 130 |
| Square | 68644 |
| Cube | 17984728 |
| Square root | 16.186414 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 29 |
| Scientific notation | 2.62 × |
262 in other forms
| Form | Value |
|---|---|
| In words | two hundred and sixty-two |
| Roman numerals | CCLXII |
| Binary (base 2) | 100000110 |
| Octal (base 8) | 406 |
| Hexadecimal (base 16) | 106 |
| Base 3 | 100201 |
| As time | 262 seconds = 4 min 22 s |
Is 262 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (262 ÷ 2 = 131) | 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 2) | 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 3) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 262 a prime number?
No. 262 = 2 × 131, so it is divisible by 2.
What are the factors of 262?
1, 2, 131, 262.
What is 262 in binary?
100000110 (hexadecimal 106, octal 406).
What is the square root of 262?
About 16.1864.
What is 262 in Roman numerals?
CCLXII.
Is 262 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 262?
262 is a palindrome: it reads 262 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 131, the product of two primes.