The number 4290
4290 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 13. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65 … 4290.
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How to work it out
- 1
What is special about 4290: a Harshad number: divisible by its digit sum 15.
- 2
4290 is composite. Its prime factorisation is
- 3
The divisors add up to 12096; without 4290 itself that is 7806, so 4290 is abundant (7806 is more than 4290). Euler's totient φ(4290) = 960 numbers up to 4290 share no factor with it.
- 4
The digits of 4290 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4290 = 2 \times 3 \times 5 \times 11 \times 13 \]
4290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 12096 |
| Euler totient φ(n) | 960 |
| Square | 18404100 |
| Cube | 78953589000 |
| Square root | 65.498092 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.29 × |
4290 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and ninety |
| Binary (base 2) | 1000011000010 |
| Octal (base 8) | 10302 |
| Hexadecimal (base 16) | 10C2 |
| Base 3 | 12212220 |
| As time | 4290 seconds = 1 h 11 min 30 s |
Is 4290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4290 ÷ 2 = 2145) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4290 ÷ 3 = 1430) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4290 ÷ 5 = 858) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4290 ÷ 6 = 715) | 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 | No (remainder 2) | 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 (4290 ÷ 10 = 429) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4290 ÷ 11 = 390) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4290 a prime number?
No. 4290 = 2 × 3 × 5 × 11 × 13, so it is divisible by 2.
What are the factors of 4290?
1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290.
What is 4290 in binary?
1000011000010 (hexadecimal 10C2, octal 10302).
What is the square root of 4290?
About 65.4981.
Is 4290 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4290?
4290 is a Harshad number: divisible by its digit sum 15.