The number 940
940 is a composite number with 12 divisors. Its prime factorisation is × 5 × 47. Divisors (12): 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 940: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
940 is composite. Its prime factorisation is
- 3
The divisors add up to 2016; without 940 itself that is 1076, so 940 is abundant (1076 is more than 940). Euler's totient φ(940) = 368 numbers up to 940 share no factor with it.
- 4
The digits of 940 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 940 = 2^{2} \times 5 \times 47 \]940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2016 |
| Euler totient φ(n) | 368 |
| Square | 883600 |
| Cube | 830584000 |
| Square root | 30.659419 (= 2√235) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 9.4 × |
940 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and forty |
| Roman numerals | CMXL |
| Binary (base 2) | 1110101100 |
| Octal (base 8) | 1654 |
| Hexadecimal (base 16) | 3AC |
| Base 3 | 1021211 |
| As time | 940 seconds = 15 min 40 s |
Is 940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (940 ÷ 2 = 470) | 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 (940 ÷ 4 = 235) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (940 ÷ 5 = 188) | 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 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (940 ÷ 10 = 94) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 940 a prime number?
No. 940 = × 5 × 47, so it is divisible by 2.
What are the factors of 940?
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940.
What is 940 in binary?
1110101100 (hexadecimal 3AC, octal 1654).
What is the square root of 940?
About 30.6594, exactly 2√235.
What is 940 in Roman numerals?
CMXL.
Is 940 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 940?
940 is a happy number: repeatedly adding the squares of its digits reaches 1.