The number 356
356 is a composite number with 6 divisors. Its prime factorisation is × 89. Divisors (6): 1, 2, 4, 89, 178, 356.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 356: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
356 is composite. Its prime factorisation is
- 3
The divisors add up to 630; without 356 itself that is 274, so 356 is deficient (274 is less than 356). Euler's totient φ(356) = 176 numbers up to 356 share no factor with it.
- 4
The digits of 356 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 356 = 2^{2} \times 89 \]356 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 630 |
| Euler totient φ(n) | 176 |
| Square | 126736 |
| Cube | 45118016 |
| Square root | 18.867962 (= 2√89) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 32 |
| Scientific notation | 3.56 × |
356 in other forms
| Form | Value |
|---|---|
| In words | three hundred and fifty-six |
| Roman numerals | CCCLVI |
| Binary (base 2) | 101100100 |
| Octal (base 8) | 544 |
| Hexadecimal (base 16) | 164 |
| Base 3 | 111012 |
| As time | 356 seconds = 5 min 56 s |
Is 356 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (356 ÷ 2 = 178) | 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 (356 ÷ 4 = 89) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | No (remainder 4) | 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 356 a prime number?
No. 356 = × 89, so it is divisible by 2.
What are the factors of 356?
1, 2, 4, 89, 178, 356.
What is 356 in binary?
101100100 (hexadecimal 164, octal 544).
What is the square root of 356?
About 18.8680, exactly 2√89.
What is 356 in Roman numerals?
CCCLVI.
Is 356 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 356?
356 is a happy number: repeatedly adding the squares of its digits reaches 1.