The number 4760
4760 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 17. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68 … 4760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4760: a Harshad number: divisible by its digit sum 17.
- 2
4760 is composite. Its prime factorisation is
- 3
The divisors add up to 12960; without 4760 itself that is 8200, so 4760 is abundant (8200 is more than 4760). Euler's totient φ(4760) = 1536 numbers up to 4760 share no factor with it.
- 4
The digits of 4760 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4760 = 2^{3} \times 5 \times 7 \times 17 \]4760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 12960 |
| Euler totient φ(n) | 1536 |
| Square | 22657600 |
| Cube | 107850176000 |
| Square root | 68.992753 (= 2√1190) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.76 × |
4760 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and sixty |
| Binary (base 2) | 1001010011000 |
| Octal (base 8) | 11230 |
| Hexadecimal (base 16) | 1298 |
| Base 3 | 20112022 |
| As time | 4760 seconds = 1 h 19 min 20 s |
Is 4760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4760 ÷ 2 = 2380) | 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 (4760 ÷ 4 = 1190) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4760 ÷ 5 = 952) | 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 | Yes (4760 ÷ 7 = 680) | 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 (4760 ÷ 8 = 595) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4760 ÷ 10 = 476) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 4760 a prime number?
No. 4760 = × 5 × 7 × 17, so it is divisible by 2.
What are the factors of 4760?
1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760.
What is 4760 in binary?
1001010011000 (hexadecimal 1298, octal 11230).
What is the square root of 4760?
About 68.9928, exactly 2√1190.
Is 4760 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4760?
4760 is a Harshad number: divisible by its digit sum 17.