The number 4960
4960 is a composite number with 24 divisors. Its prime factorisation is × 5 × 31. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160 … 4960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4960: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4960 is composite. Its prime factorisation is
- 3
The divisors add up to 12096; without 4960 itself that is 7136, so 4960 is abundant (7136 is more than 4960). Euler's totient φ(4960) = 1920 numbers up to 4960 share no factor with it.
- 4
The digits of 4960 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4960 = 2^{5} \times 5 \times 31 \]4960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 12096 |
| Euler totient φ(n) | 1920 |
| Square | 24601600 |
| Cube | 122023936000 |
| Square root | 70.427267 (= 4√310) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.96 × |
4960 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and sixty |
| Binary (base 2) | 1001101100000 |
| Octal (base 8) | 11540 |
| Hexadecimal (base 16) | 1360 |
| Base 3 | 20210201 |
| As time | 4960 seconds = 1 h 22 min 40 s |
Is 4960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4960 ÷ 2 = 2480) | 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 (4960 ÷ 4 = 1240) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4960 ÷ 5 = 992) | 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 4) | 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 (4960 ÷ 8 = 620) | 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 (4960 ÷ 10 = 496) | 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 4960 a prime number?
No. 4960 = × 5 × 31, so it is divisible by 2.
What are the factors of 4960?
1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960.
What is 4960 in binary?
1001101100000 (hexadecimal 1360, octal 11540).
What is the square root of 4960?
About 70.4273, exactly 4√310.
Is 4960 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 4960?
4960 is a happy number: repeatedly adding the squares of its digits reaches 1.