The number 2977
2977 is a composite number with 4 divisors. Its prime factorisation is 13 × 229. Divisors (4): 1, 13, 229, 2977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2977: a semiprime: 13 × 229, the product of two primes.
- 2
2977 is composite. Its prime factorisation is
- 3
The divisors add up to 3220; without 2977 itself that is 243, so 2977 is deficient (243 is less than 2977). Euler's totient φ(2977) = 2736 numbers up to 2977 share no factor with it.
- 4
The digits of 2977 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 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2977 = 13 \times 229 \]
2977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3220 |
| Euler totient φ(n) | 2736 |
| Square | 8862529 |
| Cube | 26383748833 |
| Square root | 54.561891 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 141 |
| Scientific notation | 2.977 × |
2977 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and seventy-seven |
| Roman numerals | MMCMLXXVII |
| Binary (base 2) | 101110100001 |
| Octal (base 8) | 5641 |
| Hexadecimal (base 16) | BA1 |
| Base 3 | 11002021 |
| As time | 2977 seconds = 49 min 37 s |
Is 2977 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 2) | 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 7) | 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 7) | 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 2977 a prime number?
No. 2977 = 13 × 229, so it is divisible by 13.
What are the factors of 2977?
1, 13, 229, 2977.
What is 2977 in binary?
101110100001 (hexadecimal BA1, octal 5641).
What is the square root of 2977?
About 54.5619.
What is 2977 in Roman numerals?
MMCMLXXVII.
Is 2977 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 2977?
2977 is a semiprime: 13 × 229, the product of two primes.