The number 56440
56440 is a composite number with 32 divisors. Its prime factorisation is × 5 × 17 × 83. Divisors (32): 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 83, 85, 136, 166, 170 … 56440.
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How to work it out
- 1
56440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56440 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 56440 itself that is 79640, so 56440 is abundant (79640 is more than 56440). Euler's totient φ(56440) = 20992 numbers up to 56440 share no factor with it.
- 4
The digits of 56440 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56440 = 2^{3} \times 5 \times 17 \times 83 \]56440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 20992 |
| Square | 3185473600 |
| Cube | 179788129984000 |
| Square root | 237.571042 (= 2√14110) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.644 × |
56440 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand four hundred and forty |
| Binary (base 2) | 1101110001111000 |
| Octal (base 8) | 156170 |
| Hexadecimal (base 16) | DC78 |
| Base 3 | 2212102101 |
| As time | 56440 seconds = 15 h 40 min 40 s |
Is 56440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56440 ÷ 2 = 28220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56440 ÷ 4 = 14110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (56440 ÷ 5 = 11288) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (56440 ÷ 8 = 7055) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (56440 ÷ 10 = 5644) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56440 a prime number?
No. 56440 = × 5 × 17 × 83, so it is divisible by 2.
What are the factors of 56440?
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 83, 85, 136, 166, 170, 332, 340, 415, 664, 680, 830, 1411, 1660, 2822, 3320, 5644, 7055, 11288, 14110, 28220, 56440.
What is 56440 in binary?
1101110001111000 (hexadecimal DC78, octal 156170).
What is the square root of 56440?
About 237.5710, exactly 2√14110.
Is 56440 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 56440?
It is a composite number with 32 divisors.