The number 56748
56748 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4729. Divisors (12): 1, 2, 3, 4, 6, 12, 4729, 9458, 14187, 18916, 28374, 56748.
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How to work it out
- 1
What is special about 56748: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
56748 is composite. Its prime factorisation is
- 3
The divisors add up to 132440; without 56748 itself that is 75692, so 56748 is abundant (75692 is more than 56748). Euler's totient φ(56748) = 18912 numbers up to 56748 share no factor with it.
- 4
The digits of 56748 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56748 = 2^{2} \times 3 \times 4729 \]56748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 132440 |
| Euler totient φ(n) | 18912 |
| Square | 3220335504 |
| Cube | 182747599180992 |
| Square root | 238.218387 (= 2√14187) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.6748 × |
56748 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and forty-eight |
| Binary (base 2) | 1101110110101100 |
| Octal (base 8) | 156654 |
| Hexadecimal (base 16) | DDAC |
| Base 3 | 2212211210 |
| As time | 56748 seconds = 15 h 45 min 48 s |
Is 56748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56748 ÷ 2 = 28374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56748 ÷ 3 = 18916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56748 ÷ 4 = 14187) | 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 (56748 ÷ 6 = 9458) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (56748 ÷ 12 = 4729) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56748 a prime number?
No. 56748 = × 3 × 4729, so it is divisible by 2.
What are the factors of 56748?
1, 2, 3, 4, 6, 12, 4729, 9458, 14187, 18916, 28374, 56748.
What is 56748 in binary?
1101110110101100 (hexadecimal DDAC, octal 156654).
What is the square root of 56748?
About 238.2184, exactly 2√14187.
Is 56748 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 56748?
56748 is a happy number: repeatedly adding the squares of its digits reaches 1.