The number 964
964 is a composite number with 6 divisors. Its prime factorisation is × 241. Divisors (6): 1, 2, 4, 241, 482, 964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 964: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
964 is composite. Its prime factorisation is
- 3
The divisors add up to 1694; without 964 itself that is 730, so 964 is deficient (730 is less than 964). Euler's totient φ(964) = 480 numbers up to 964 share no factor with it.
- 4
The digits of 964 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 964 = 2^{2} \times 241 \]964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1694 |
| Euler totient φ(n) | 480 |
| Square | 929296 |
| Cube | 895841344 |
| Square root | 31.048349 (= 2√241) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 23 |
| Scientific notation | 9.64 × |
964 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and sixty-four |
| Roman numerals | CMLXIV |
| Binary (base 2) | 1111000100 |
| Octal (base 8) | 1704 |
| Hexadecimal (base 16) | 3C4 |
| Base 3 | 1022201 |
| As time | 964 seconds = 16 min 4 s |
Is 964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (964 ÷ 2 = 482) | 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 | Yes (964 ÷ 4 = 241) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 1) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 964 a prime number?
No. 964 = × 241, so it is divisible by 2.
What are the factors of 964?
1, 2, 4, 241, 482, 964.
What is 964 in binary?
1111000100 (hexadecimal 3C4, octal 1704).
What is the square root of 964?
About 31.0483, exactly 2√241.
What is 964 in Roman numerals?
CMLXIV.
Is 964 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 964?
964 is a happy number: repeatedly adding the squares of its digits reaches 1.