The number 5977
5977 is a composite number with 4 divisors. Its prime factorisation is 43 × 139. Divisors (4): 1, 43, 139, 5977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5977: a semiprime: 43 × 139, the product of two primes.
- 2
5977 is composite. Its prime factorisation is
- 3
The divisors add up to 6160; without 5977 itself that is 183, so 5977 is deficient (183 is less than 5977). Euler's totient φ(5977) = 5796 numbers up to 5977 share no factor with it.
- 4
The digits of 5977 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5977 = 43 \times 139 \]
5977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6160 |
| Euler totient φ(n) | 5796 |
| Square | 35724529 |
| Cube | 213525509833 |
| Square root | 77.311060 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.977 × |
5977 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and seventy-seven |
| Binary (base 2) | 1011101011001 |
| Octal (base 8) | 13531 |
| Hexadecimal (base 16) | 1759 |
| Base 3 | 22012101 |
| As time | 5977 seconds = 1 h 39 min 37 s |
Is 5977 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5977 a prime number?
No. 5977 = 43 × 139, so it is divisible by 43.
What are the factors of 5977?
1, 43, 139, 5977.
What is 5977 in binary?
1011101011001 (hexadecimal 1759, octal 13531).
What is the square root of 5977?
About 77.3111.
Is 5977 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 5977?
5977 is a semiprime: 43 × 139, the product of two primes.