The number 946
946 is a triangular number: 1 + 2 + … + 43 = 946. Its prime factorisation is 2 × 11 × 43. Divisors (8): 1, 2, 11, 22, 43, 86, 473, 946.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 946: a triangular number: 1 + 2 + … + 43 = 946; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
946 is composite. Its prime factorisation is
- 3
The divisors add up to 1584; without 946 itself that is 638, so 946 is deficient (638 is less than 946). Euler's totient φ(946) = 420 numbers up to 946 share no factor with it.
- 4
The digits of 946 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 946 = 2 \times 11 \times 43 \]
946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1584 |
| Euler totient φ(n) | 420 |
| Square | 894916 |
| Cube | 846590536 |
| Square root | 30.757113 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 9.46 × |
946 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and forty-six |
| Roman numerals | CMXLVI |
| Binary (base 2) | 1110110010 |
| Octal (base 8) | 1662 |
| Hexadecimal (base 16) | 3B2 |
| Base 3 | 1022001 |
| As time | 946 seconds = 15 min 46 s |
Is 946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (946 ÷ 2 = 473) | 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 1) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (946 ÷ 11 = 86) | 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 946 a prime number?
No. 946 = 2 × 11 × 43, so it is divisible by 2.
What are the factors of 946?
1, 2, 11, 22, 43, 86, 473, 946.
What is 946 in binary?
1110110010 (hexadecimal 3B2, octal 1662).
What is the square root of 946?
About 30.7571.
What is 946 in Roman numerals?
CMXLVI.
Is 946 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 946?
946 is a triangular number: 1 + 2 + … + 43 = 946; a happy number: repeatedly adding the squares of its digits reaches 1.