The number 1879
1879 is a twin prime (1877 and 1879 are both prime), the 289th prime number and a binary palindrome (11101010111). Its only divisors are 1 and 1879.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1879: a twin prime (1877 and 1879 are both prime); the 289th prime number; a binary palindrome (11101010111).
- 2
1879 is prime, so its only factors are 1 and 1879. It is the 289th prime; the next prime is 1889 and the one before is 1877.
- 3
The divisors add up to 1880; without 1879 itself that is 1, so 1879 is deficient (1 is less than 1879). Euler's totient φ(1879) = 1878 numbers up to 1879 share no factor with it.
- 4
The digits of 1879 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
1879 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1880 |
| Euler totient φ(n) | 1878 |
| Square | 3530641 |
| Cube | 6634074439 |
| Square root | 43.347434 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.879 × |
1879 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and seventy-nine |
| Roman numerals | MDCCCLXXIX |
| Binary (base 2) | 11101010111 |
| Octal (base 8) | 3527 |
| Hexadecimal (base 16) | 757 |
| Base 3 | 2120121 |
| As time | 1879 seconds = 31 min 19 s |
Is 1879 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1879 a prime number?
Yes. 1879 is divisible only by 1 and itself.
What are the factors of 1879?
1, 1879.
What is 1879 in binary?
11101010111 (hexadecimal 757, octal 3527).
What is the square root of 1879?
About 43.3474.
What is 1879 in Roman numerals?
MDCCCLXXIX.
Is 1879 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 1879?
1879 is a twin prime (1877 and 1879 are both prime); the 289th prime number; a binary palindrome (11101010111).