The number 3977
3977 is a composite number with 4 divisors. Its prime factorisation is 41 × 97. Divisors (4): 1, 41, 97, 3977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3977: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 97, the product of two primes.
- 2
3977 is composite. Its prime factorisation is
- 3
The divisors add up to 4116; without 3977 itself that is 139, so 3977 is deficient (139 is less than 3977). Euler's totient φ(3977) = 3840 numbers up to 3977 share no factor with it.
- 4
The digits of 3977 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3977 = 41 \times 97 \]
3977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4116 |
| Euler totient φ(n) | 3840 |
| Square | 15816529 |
| Cube | 62902335833 |
| Square root | 63.063460 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 144 |
| Scientific notation | 3.977 × |
3977 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and seventy-seven |
| Roman numerals | MMMCMLXXVII |
| Binary (base 2) | 111110001001 |
| Octal (base 8) | 7611 |
| Hexadecimal (base 16) | F89 |
| Base 3 | 12110022 |
| As time | 3977 seconds = 1 h 6 min 17 s |
Is 3977 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 2) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3977 a prime number?
No. 3977 = 41 × 97, so it is divisible by 41.
What are the factors of 3977?
1, 41, 97, 3977.
What is 3977 in binary?
111110001001 (hexadecimal F89, octal 7611).
What is the square root of 3977?
About 63.0635.
What is 3977 in Roman numerals?
MMMCMLXXVII.
Is 3977 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 3977?
3977 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 97, the product of two primes.