The number 31976
31976 is a composite number with 16 divisors. Its prime factorisation is × 7 × 571. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 571, 1142, 2284, 3997, 4568, 7994, 15988, 31976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31976: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31976 is composite. Its prime factorisation is
- 3
The divisors add up to 68640; without 31976 itself that is 36664, so 31976 is abundant (36664 is more than 31976). Euler's totient φ(31976) = 13680 numbers up to 31976 share no factor with it.
- 4
The digits of 31976 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31976 = 2^{3} \times 7 \times 571 \]31976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 68640 |
| Euler totient φ(n) | 13680 |
| Square | 1022464576 |
| Cube | 32694327282176 |
| Square root | 178.818344 (= 2√7994) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1976 × |
31976 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and seventy-six |
| Binary (base 2) | 111110011101000 |
| Octal (base 8) | 76350 |
| Hexadecimal (base 16) | 7CE8 |
| Base 3 | 1121212022 |
| As time | 31976 seconds = 8 h 52 min 56 s |
Is 31976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31976 ÷ 2 = 15988) | 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 (31976 ÷ 4 = 7994) | 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 | Yes (31976 ÷ 7 = 4568) | 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 (31976 ÷ 8 = 3997) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 31976 a prime number?
No. 31976 = × 7 × 571, so it is divisible by 2.
What are the factors of 31976?
1, 2, 4, 7, 8, 14, 28, 56, 571, 1142, 2284, 3997, 4568, 7994, 15988, 31976.
What is 31976 in binary?
111110011101000 (hexadecimal 7CE8, octal 76350).
What is the square root of 31976?
About 178.8183, exactly 2√7994.
Is 31976 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 31976?
31976 is a happy number: repeatedly adding the squares of its digits reaches 1.