The number 376
376 is a composite number with 8 divisors. Its prime factorisation is × 47. Divisors (8): 1, 2, 4, 8, 47, 94, 188, 376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 376: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
376 is composite. Its prime factorisation is
- 3
The divisors add up to 720; without 376 itself that is 344, so 376 is deficient (344 is less than 376). Euler's totient φ(376) = 184 numbers up to 376 share no factor with it.
- 4
The digits of 376 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 376 = 2^{3} \times 47 \]376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 720 |
| Euler totient φ(n) | 184 |
| Square | 141376 |
| Cube | 53157376 |
| Square root | 19.390719 (= 2√94) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 107 |
| Scientific notation | 3.76 × |
376 in other forms
| Form | Value |
|---|---|
| In words | three hundred and seventy-six |
| Roman numerals | CCCLXXVI |
| Binary (base 2) | 101111000 |
| Octal (base 8) | 570 |
| Hexadecimal (base 16) | 178 |
| Base 3 | 111221 |
| As time | 376 seconds = 6 min 16 s |
Is 376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (376 ÷ 2 = 188) | 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 (376 ÷ 4 = 94) | 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 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 | Yes (376 ÷ 8 = 47) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | 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 376 a prime number?
No. 376 = × 47, so it is divisible by 2.
What are the factors of 376?
1, 2, 4, 8, 47, 94, 188, 376.
What is 376 in binary?
101111000 (hexadecimal 178, octal 570).
What is the square root of 376?
About 19.3907, exactly 2√94.
What is 376 in Roman numerals?
CCCLXXVI.
Is 376 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 376?
376 is a happy number: repeatedly adding the squares of its digits reaches 1.