The number 20976
20976 is a composite number with 40 divisors. Its prime factorisation is × 3 × 19 × 23. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 19, 23, 24, 38, 46, 48, 57, 69 … 20976.
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How to work it out
- 1
What is special about 20976: a Harshad number: divisible by its digit sum 24.
- 2
20976 is composite. Its prime factorisation is
- 3
The divisors add up to 59520; without 20976 itself that is 38544, so 20976 is abundant (38544 is more than 20976). Euler's totient φ(20976) = 6336 numbers up to 20976 share no factor with it.
- 4
The digits of 20976 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20976 = 2^{4} \times 3 \times 19 \times 23 \]20976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 59520 |
| Euler totient φ(n) | 6336 |
| Square | 439992576 |
| Cube | 9229284274176 |
| Square root | 144.830936 (= 4√1311) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 105 |
| Scientific notation | 2.0976 × |
20976 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand nine hundred and seventy-six |
| Binary (base 2) | 101000111110000 |
| Octal (base 8) | 50760 |
| Hexadecimal (base 16) | 51F0 |
| Base 3 | 1001202220 |
| As time | 20976 seconds = 5 h 49 min 36 s |
Is 20976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20976 ÷ 2 = 10488) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20976 ÷ 3 = 6992) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20976 ÷ 4 = 5244) | 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 (20976 ÷ 6 = 3496) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (20976 ÷ 8 = 2622) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20976 ÷ 12 = 1748) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20976 a prime number?
No. 20976 = × 3 × 19 × 23, so it is divisible by 2.
What are the factors of 20976?
1, 2, 3, 4, 6, 8, 12, 16, 19, 23, 24, 38, 46, 48, 57, 69, 76, 92, 114, 138, 152, 184, 228, 276, 304, 368, 437, 456, 552, 874, 912, 1104, 1311, 1748, 2622, 3496, 5244, 6992, 10488, 20976.
What is 20976 in binary?
101000111110000 (hexadecimal 51F0, octal 50760).
What is the square root of 20976?
About 144.8309, exactly 4√1311.
Is 20976 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 20976?
20976 is a Harshad number: divisible by its digit sum 24.