The number 56988
56988 is a composite number with 18 divisors. Its prime factorisation is × × 1583. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1583, 3166, 4749, 6332, 9498, 14247, 18996 … 56988.
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How to work it out
- 1
What is special about 56988: a Harshad number: divisible by its digit sum 36.
- 2
56988 is composite. Its prime factorisation is
- 3
The divisors add up to 144144; without 56988 itself that is 87156, so 56988 is abundant (87156 is more than 56988). Euler's totient φ(56988) = 18984 numbers up to 56988 share no factor with it.
- 4
The digits of 56988 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56988 = 2^{2} \times 3^{2} \times 1583 \]56988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 144144 |
| Euler totient φ(n) | 18984 |
| Square | 3247632144 |
| Cube | 185076060622272 |
| Square root | 238.721595 (= 6√1583) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.6988 × |
56988 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand nine hundred and eighty-eight |
| Binary (base 2) | 1101111010011100 |
| Octal (base 8) | 157234 |
| Hexadecimal (base 16) | DE9C |
| Base 3 | 2220011200 |
| As time | 56988 seconds = 15 h 49 min 48 s |
Is 56988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56988 ÷ 2 = 28494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56988 ÷ 3 = 18996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56988 ÷ 4 = 14247) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (56988 ÷ 6 = 9498) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (56988 ÷ 9 = 6332) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (56988 ÷ 12 = 4749) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56988 a prime number?
No. 56988 = × × 1583, so it is divisible by 2.
What are the factors of 56988?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1583, 3166, 4749, 6332, 9498, 14247, 18996, 28494, 56988.
What is 56988 in binary?
1101111010011100 (hexadecimal DE9C, octal 157234).
What is the square root of 56988?
About 238.7216, exactly 6√1583.
Is 56988 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 56988?
56988 is a Harshad number: divisible by its digit sum 36.