The number 276
276 is a triangular number: 1 + 2 + … + 23 = 276. Its prime factorisation is × 3 × 23. Divisors (12): 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 276: a triangular number: 1 + 2 + … + 23 = 276.
- 2
276 is composite. Its prime factorisation is
- 3
The divisors add up to 672; without 276 itself that is 396, so 276 is abundant (396 is more than 276). Euler's totient φ(276) = 88 numbers up to 276 share no factor with it.
- 4
The digits of 276 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 16 steps to reach 1.
LaTeX source of the formulas on this page
\[ 276 = 2^{2} \times 3 \times 23 \]276 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 672 |
| Euler totient φ(n) | 88 |
| Square | 76176 |
| Cube | 21024576 |
| Square root | 16.613248 (= 2√69) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 16 |
| Scientific notation | 2.76 × |
276 in other forms
| Form | Value |
|---|---|
| In words | two hundred and seventy-six |
| Roman numerals | CCLXXVI |
| Binary (base 2) | 100010100 |
| Octal (base 8) | 424 |
| Hexadecimal (base 16) | 114 |
| Base 3 | 101020 |
| As time | 276 seconds = 4 min 36 s |
Is 276 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (276 ÷ 2 = 138) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (276 ÷ 3 = 92) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (276 ÷ 4 = 69) | 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 | Yes (276 ÷ 6 = 46) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (276 ÷ 12 = 23) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 276 a prime number?
No. 276 = × 3 × 23, so it is divisible by 2.
What are the factors of 276?
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.
What is 276 in binary?
100010100 (hexadecimal 114, octal 424).
What is the square root of 276?
About 16.6132, exactly 2√69.
What is 276 in Roman numerals?
CCLXXVI.
Is 276 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 276?
276 is a triangular number: 1 + 2 + … + 23 = 276.