The number 4920
4920 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 41. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60 … 4920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4920: a Harshad number: divisible by its digit sum 15.
- 2
4920 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 4920 itself that is 10200, so 4920 is abundant (10200 is more than 4920). Euler's totient φ(4920) = 1280 numbers up to 4920 share no factor with it.
- 4
The digits of 4920 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4920 = 2^{3} \times 3 \times 5 \times 41 \]4920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 1280 |
| Square | 24206400 |
| Cube | 119095488000 |
| Square root | 70.142712 (= 2√1230) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 72 |
| Scientific notation | 4.92 × |
4920 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and twenty |
| Binary (base 2) | 1001100111000 |
| Octal (base 8) | 11470 |
| Hexadecimal (base 16) | 1338 |
| Base 3 | 20202020 |
| As time | 4920 seconds = 1 h 22 min 0 s |
Is 4920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4920 ÷ 2 = 2460) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4920 ÷ 3 = 1640) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4920 ÷ 4 = 1230) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4920 ÷ 5 = 984) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4920 ÷ 6 = 820) | 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 (4920 ÷ 8 = 615) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4920 ÷ 10 = 492) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4920 ÷ 12 = 410) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4920 a prime number?
No. 4920 = × 3 × 5 × 41, so it is divisible by 2.
What are the factors of 4920?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920.
What is 4920 in binary?
1001100111000 (hexadecimal 1338, octal 11470).
What is the square root of 4920?
About 70.1427, exactly 2√1230.
Is 4920 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4920?
4920 is a Harshad number: divisible by its digit sum 15.