The number 962
962 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 37. Divisors (8): 1, 2, 13, 26, 37, 74, 481, 962.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
962 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
962 is composite. Its prime factorisation is
- 3
The divisors add up to 1596; without 962 itself that is 634, so 962 is deficient (634 is less than 962). Euler's totient φ(962) = 432 numbers up to 962 share no factor with it.
- 4
The digits of 962 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 962 = 2 \times 13 \times 37 \]
962 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1596 |
| Euler totient φ(n) | 432 |
| Square | 925444 |
| Cube | 890277128 |
| Square root | 31.016125 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 9.62 × |
962 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and sixty-two |
| Roman numerals | CMLXII |
| Binary (base 2) | 1111000010 |
| Octal (base 8) | 1702 |
| Hexadecimal (base 16) | 3C2 |
| Base 3 | 1022122 |
| As time | 962 seconds = 16 min 2 s |
Is 962 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (962 ÷ 2 = 481) | 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 | 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 2) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 962 a prime number?
No. 962 = 2 × 13 × 37, so it is divisible by 2.
What are the factors of 962?
1, 2, 13, 26, 37, 74, 481, 962.
What is 962 in binary?
1111000010 (hexadecimal 3C2, octal 1702).
What is the square root of 962?
About 31.0161.
What is 962 in Roman numerals?
CMLXII.
Is 962 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 962?
It is a composite number with 8 divisors.