The number 4740
4740 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 79. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316 … 4740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4740: a Harshad number: divisible by its digit sum 15.
- 2
4740 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 4740 itself that is 8700, so 4740 is abundant (8700 is more than 4740). Euler's totient φ(4740) = 1248 numbers up to 4740 share no factor with it.
- 4
The digits of 4740 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4740 = 2^{2} \times 3 \times 5 \times 79 \]4740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 1248 |
| Square | 22467600 |
| Cube | 106496424000 |
| Square root | 68.847658 (= 2√1185) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 152 |
| Scientific notation | 4.74 × |
4740 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and forty |
| Binary (base 2) | 1001010000100 |
| Octal (base 8) | 11204 |
| Hexadecimal (base 16) | 1284 |
| Base 3 | 20111120 |
| As time | 4740 seconds = 1 h 19 min 0 s |
Is 4740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4740 ÷ 2 = 2370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4740 ÷ 3 = 1580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4740 ÷ 4 = 1185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4740 ÷ 5 = 948) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4740 ÷ 6 = 790) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4740 ÷ 10 = 474) | 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 | Yes (4740 ÷ 12 = 395) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4740 a prime number?
No. 4740 = × 3 × 5 × 79, so it is divisible by 2.
What are the factors of 4740?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316, 395, 474, 790, 948, 1185, 1580, 2370, 4740.
What is 4740 in binary?
1001010000100 (hexadecimal 1284, octal 11204).
What is the square root of 4740?
About 68.8477, exactly 2√1185.
Is 4740 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4740?
4740 is a Harshad number: divisible by its digit sum 15.