The number 4620
4620 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 7 × 11. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28 … 4620.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4620: a Harshad number: divisible by its digit sum 12.
- 2
4620 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 4620 itself that is 11508, so 4620 is abundant (11508 is more than 4620). Euler's totient φ(4620) = 960 numbers up to 4620 share no factor with it.
- 4
The digits of 4620 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4620 = 2^{2} \times 3 \times 5 \times 7 \times 11 \]4620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 960 |
| Square | 21344400 |
| Cube | 98611128000 |
| Square root | 67.970582 (= 2√1155) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.62 × |
4620 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and twenty |
| Binary (base 2) | 1001000001100 |
| Octal (base 8) | 11014 |
| Hexadecimal (base 16) | 120C |
| Base 3 | 20100010 |
| As time | 4620 seconds = 1 h 17 min 0 s |
Is 4620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4620 ÷ 2 = 2310) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4620 ÷ 3 = 1540) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4620 ÷ 4 = 1155) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4620 ÷ 5 = 924) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4620 ÷ 6 = 770) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4620 ÷ 7 = 660) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4620 ÷ 10 = 462) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4620 ÷ 11 = 420) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4620 ÷ 12 = 385) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4620 a prime number?
No. 4620 = × 3 × 5 × 7 × 11, so it is divisible by 2.
What are the factors of 4620?
1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620.
What is 4620 in binary?
1001000001100 (hexadecimal 120C, octal 11014).
What is the square root of 4620?
About 67.9706, exactly 2√1155.
Is 4620 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4620?
4620 is a Harshad number: divisible by its digit sum 12.