The number 944
944 is a composite number with 10 divisors. Its prime factorisation is × 59. Divisors (10): 1, 2, 4, 8, 16, 59, 118, 236, 472, 944.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
944 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
944 is composite. Its prime factorisation is
- 3
The divisors add up to 1860; without 944 itself that is 916, so 944 is deficient (916 is less than 944). Euler's totient φ(944) = 464 numbers up to 944 share no factor with it.
- 4
The digits of 944 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 944 = 2^{4} \times 59 \]944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 1860 |
| Euler totient φ(n) | 464 |
| Square | 891136 |
| Cube | 841232384 |
| Square root | 30.724583 (= 4√59) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 36 |
| Scientific notation | 9.44 × |
944 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and forty-four |
| Roman numerals | CMXLIV |
| Binary (base 2) | 1110110000 |
| Octal (base 8) | 1660 |
| Hexadecimal (base 16) | 3B0 |
| Base 3 | 1021222 |
| As time | 944 seconds = 15 min 44 s |
Is 944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (944 ÷ 2 = 472) | 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 (944 ÷ 4 = 236) | 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 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 | Yes (944 ÷ 8 = 118) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 944 a prime number?
No. 944 = × 59, so it is divisible by 2.
What are the factors of 944?
1, 2, 4, 8, 16, 59, 118, 236, 472, 944.
What is 944 in binary?
1110110000 (hexadecimal 3B0, octal 1660).
What is the square root of 944?
About 30.7246, exactly 4√59.
What is 944 in Roman numerals?
CMXLIV.
Is 944 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 944?
It is a composite number with 10 divisors.