The number 56979
56979 is a composite number with 12 divisors. Its prime factorisation is × 13 × 487. Divisors (12): 1, 3, 9, 13, 39, 117, 487, 1461, 4383, 6331, 18993, 56979.
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How to work it out
- 1
56979 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56979 is composite. Its prime factorisation is
- 3
The divisors add up to 88816; without 56979 itself that is 31837, so 56979 is deficient (31837 is less than 56979). Euler's totient φ(56979) = 34992 numbers up to 56979 share no factor with it.
- 4
The digits of 56979 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56979 = 3^{2} \times 13 \times 487 \]56979 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88816 |
| Euler totient φ(n) | 34992 |
| Square | 3246606441 |
| Cube | 184988388401739 |
| Square root | 238.702744 (= 3√6331) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.6979 × |
56979 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand nine hundred and seventy-nine |
| Binary (base 2) | 1101111010010011 |
| Octal (base 8) | 157223 |
| Hexadecimal (base 16) | DE93 |
| Base 3 | 2220011100 |
| As time | 56979 seconds = 15 h 49 min 39 s |
Is 56979 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56979 ÷ 3 = 18993) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (56979 ÷ 9 = 6331) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56979 a prime number?
No. 56979 = × 13 × 487, so it is divisible by 3.
What are the factors of 56979?
1, 3, 9, 13, 39, 117, 487, 1461, 4383, 6331, 18993, 56979.
What is 56979 in binary?
1101111010010011 (hexadecimal DE93, octal 157223).
What is the square root of 56979?
About 238.7027, exactly 3√6331.
Is 56979 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 56979?
It is a composite number with 12 divisors.