The number 4640
4640 is a composite number with 24 divisors. Its prime factorisation is × 5 × 29. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160 … 4640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4640: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4640 is composite. Its prime factorisation is
- 3
The divisors add up to 11340; without 4640 itself that is 6700, so 4640 is abundant (6700 is more than 4640). Euler's totient φ(4640) = 1792 numbers up to 4640 share no factor with it.
- 4
The digits of 4640 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4640 = 2^{5} \times 5 \times 29 \]4640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 11340 |
| Euler totient φ(n) | 1792 |
| Square | 21529600 |
| Cube | 99897344000 |
| Square root | 68.117545 (= 4√290) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.64 × |
4640 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and forty |
| Binary (base 2) | 1001000100000 |
| Octal (base 8) | 11040 |
| Hexadecimal (base 16) | 1220 |
| Base 3 | 20100212 |
| As time | 4640 seconds = 1 h 17 min 20 s |
Is 4640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4640 ÷ 2 = 2320) | 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 (4640 ÷ 4 = 1160) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4640 ÷ 5 = 928) | 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 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 (4640 ÷ 8 = 580) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4640 ÷ 10 = 464) | 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 4640 a prime number?
No. 4640 = × 5 × 29, so it is divisible by 2.
What are the factors of 4640?
1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640.
What is 4640 in binary?
1001000100000 (hexadecimal 1220, octal 11040).
What is the square root of 4640?
About 68.1175, exactly 4√290.
Is 4640 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4640?
4640 is a happy number: repeatedly adding the squares of its digits reaches 1.