The number 4170
4170 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 139. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4170 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4170 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 4170 itself that is 5910, so 4170 is abundant (5910 is more than 4170). Euler's totient φ(4170) = 1104 numbers up to 4170 share no factor with it.
- 4
The digits of 4170 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4170 = 2 \times 3 \times 5 \times 139 \]
4170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 1104 |
| Square | 17388900 |
| Cube | 72511713000 |
| Square root | 64.575537 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.17 × |
4170 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and seventy |
| Binary (base 2) | 1000001001010 |
| Octal (base 8) | 10112 |
| Hexadecimal (base 16) | 104A |
| Base 3 | 12201110 |
| As time | 4170 seconds = 1 h 9 min 30 s |
Is 4170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4170 ÷ 2 = 2085) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4170 ÷ 3 = 1390) | 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 (4170 ÷ 5 = 834) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4170 ÷ 6 = 695) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4170 ÷ 10 = 417) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 4170 a prime number?
No. 4170 = 2 × 3 × 5 × 139, so it is divisible by 2.
What are the factors of 4170?
1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170.
What is 4170 in binary?
1000001001010 (hexadecimal 104A, octal 10112).
What is the square root of 4170?
About 64.5755.
Is 4170 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4170?
It is a composite number with 16 divisors.