The number 5960
5960 is a composite number with 16 divisors. Its prime factorisation is × 5 × 149. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5960: a Harshad number: divisible by its digit sum 20.
- 2
5960 is composite. Its prime factorisation is
- 3
The divisors add up to 13500; without 5960 itself that is 7540, so 5960 is abundant (7540 is more than 5960). Euler's totient φ(5960) = 2368 numbers up to 5960 share no factor with it.
- 4
The digits of 5960 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5960 = 2^{3} \times 5 \times 149 \]5960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13500 |
| Euler totient φ(n) | 2368 |
| Square | 35521600 |
| Cube | 211708736000 |
| Square root | 77.201036 (= 2√1490) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 93 |
| Scientific notation | 5.96 × |
5960 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and sixty |
| Binary (base 2) | 1011101001000 |
| Octal (base 8) | 13510 |
| Hexadecimal (base 16) | 1748 |
| Base 3 | 22011202 |
| As time | 5960 seconds = 1 h 39 min 20 s |
Is 5960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5960 ÷ 2 = 2980) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5960 ÷ 4 = 1490) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5960 ÷ 5 = 1192) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (5960 ÷ 8 = 745) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5960 ÷ 10 = 596) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5960 a prime number?
No. 5960 = × 5 × 149, so it is divisible by 2.
What are the factors of 5960?
1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960.
What is 5960 in binary?
1011101001000 (hexadecimal 1748, octal 13510).
What is the square root of 5960?
About 77.2010, exactly 2√1490.
Is 5960 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5960?
5960 is a Harshad number: divisible by its digit sum 20.