The number 5920
5920 is a composite number with 24 divisors. Its prime factorisation is × 5 × 37. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185 … 5920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5920: a Harshad number: divisible by its digit sum 16.
- 2
5920 is composite. Its prime factorisation is
- 3
The divisors add up to 14364; without 5920 itself that is 8444, so 5920 is abundant (8444 is more than 5920). Euler's totient φ(5920) = 2304 numbers up to 5920 share no factor with it.
- 4
The digits of 5920 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5920 = 2^{5} \times 5 \times 37 \]5920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14364 |
| Euler totient φ(n) | 2304 |
| Square | 35046400 |
| Cube | 207474688000 |
| Square root | 76.941536 (= 4√370) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.92 × |
5920 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and twenty |
| Binary (base 2) | 1011100100000 |
| Octal (base 8) | 13440 |
| Hexadecimal (base 16) | 1720 |
| Base 3 | 22010021 |
| As time | 5920 seconds = 1 h 38 min 40 s |
Is 5920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5920 ÷ 2 = 2960) | 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 (5920 ÷ 4 = 1480) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5920 ÷ 5 = 1184) | 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 5) | 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 (5920 ÷ 8 = 740) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5920 ÷ 10 = 592) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 5920 a prime number?
No. 5920 = × 5 × 37, so it is divisible by 2.
What are the factors of 5920?
1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920.
What is 5920 in binary?
1011100100000 (hexadecimal 1720, octal 13440).
What is the square root of 5920?
About 76.9415, exactly 4√370.
Is 5920 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5920?
5920 is a Harshad number: divisible by its digit sum 16.