The number 5979
5979 is a composite number with 4 divisors. Its prime factorisation is 3 × 1993. Divisors (4): 1, 3, 1993, 5979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5979: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1993, the product of two primes.
- 2
5979 is composite. Its prime factorisation is
- 3
The divisors add up to 7976; without 5979 itself that is 1997, so 5979 is deficient (1997 is less than 5979). Euler's totient φ(5979) = 3984 numbers up to 5979 share no factor with it.
- 4
The digits of 5979 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5979 = 3 \times 1993 \]
5979 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7976 |
| Euler totient φ(n) | 3984 |
| Square | 35748441 |
| Cube | 213739928739 |
| Square root | 77.323994 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.979 × |
5979 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and seventy-nine |
| Binary (base 2) | 1011101011011 |
| Octal (base 8) | 13533 |
| Hexadecimal (base 16) | 175B |
| Base 3 | 22012110 |
| As time | 5979 seconds = 1 h 39 min 39 s |
Is 5979 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 (5979 ÷ 3 = 1993) | 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 | No (remainder 1) | 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 6) | 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 5979 a prime number?
No. 5979 = 3 × 1993, so it is divisible by 3.
What are the factors of 5979?
1, 3, 1993, 5979.
What is 5979 in binary?
1011101011011 (hexadecimal 175B, octal 13533).
What is the square root of 5979?
About 77.3240.
Is 5979 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 5979?
5979 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1993, the product of two primes.