The number 1976
1976 is a composite number with 16 divisors. Its prime factorisation is × 13 × 19. Divisors (16): 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1976: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1976 is composite. Its prime factorisation is
- 3
The divisors add up to 4200; without 1976 itself that is 2224, so 1976 is abundant (2224 is more than 1976). Euler's totient φ(1976) = 864 numbers up to 1976 share no factor with it.
- 4
The digits of 1976 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1976 = 2^{3} \times 13 \times 19 \]1976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4200 |
| Euler totient φ(n) | 864 |
| Square | 3904576 |
| Cube | 7715442176 |
| Square root | 44.452222 (= 2√494) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.976 × |
1976 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and seventy-six |
| Roman numerals | MCMLXXVI |
| Binary (base 2) | 11110111000 |
| Octal (base 8) | 3670 |
| Hexadecimal (base 16) | 7B8 |
| Base 3 | 2201012 |
| As time | 1976 seconds = 32 min 56 s |
Is 1976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1976 ÷ 2 = 988) | 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 (1976 ÷ 4 = 494) | 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 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 | Yes (1976 ÷ 8 = 247) | 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 7) | 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 1976 a prime number?
No. 1976 = × 13 × 19, so it is divisible by 2.
What are the factors of 1976?
1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976.
What is 1976 in binary?
11110111000 (hexadecimal 7B8, octal 3670).
What is the square root of 1976?
About 44.4522, exactly 2√494.
What is 1976 in Roman numerals?
MCMLXXVI.
Is 1976 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 1976?
1976 is a happy number: repeatedly adding the squares of its digits reaches 1.