The number 4179
4179 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 199. Divisors (8): 1, 3, 7, 21, 199, 597, 1393, 4179.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4179: a Harshad number: divisible by its digit sum 21.
- 2
4179 is composite. Its prime factorisation is
- 3
The divisors add up to 6400; without 4179 itself that is 2221, so 4179 is deficient (2221 is less than 4179). Euler's totient φ(4179) = 2376 numbers up to 4179 share no factor with it.
- 4
The digits of 4179 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4179 = 3 \times 7 \times 199 \]
4179 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6400 |
| Euler totient φ(n) | 2376 |
| Square | 17464041 |
| Cube | 72982227339 |
| Square root | 64.645185 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.179 × |
4179 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and seventy-nine |
| Binary (base 2) | 1000001010011 |
| Octal (base 8) | 10123 |
| Hexadecimal (base 16) | 1053 |
| Base 3 | 12201210 |
| As time | 4179 seconds = 1 h 9 min 39 s |
Is 4179 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4179 ÷ 3 = 1393) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4179 ÷ 7 = 597) | 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 3) | 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 | No (remainder 9) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4179 a prime number?
No. 4179 = 3 × 7 × 199, so it is divisible by 3.
What are the factors of 4179?
1, 3, 7, 21, 199, 597, 1393, 4179.
What is 4179 in binary?
1000001010011 (hexadecimal 1053, octal 10123).
What is the square root of 4179?
About 64.6452.
Is 4179 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4179?
4179 is a Harshad number: divisible by its digit sum 21.