The number 24977
24977 is a twin prime (24977 and 24979 are both prime) and the 2760th prime number. Its only divisors are 1 and 24977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24977: a twin prime (24977 and 24979 are both prime); the 2760th prime number.
- 2
24977 is prime, so its only factors are 1 and 24977. It is the 2760th prime; the next prime is 24979 and the one before is 24971.
- 3
The divisors add up to 24978; without 24977 itself that is 1, so 24977 is deficient (1 is less than 24977). Euler's totient φ(24977) = 24976 numbers up to 24977 share no factor with it.
- 4
The digits of 24977 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
24977 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24978 |
| Euler totient φ(n) | 24976 |
| Square | 623850529 |
| Cube | 15581914662833 |
| Square root | 158.041134 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4977 × |
24977 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and seventy-seven |
| Binary (base 2) | 110000110010001 |
| Octal (base 8) | 60621 |
| Hexadecimal (base 16) | 6191 |
| Base 3 | 1021021002 |
| As time | 24977 seconds = 6 h 56 min 17 s |
Is 24977 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24977 a prime number?
Yes. 24977 is divisible only by 1 and itself.
What are the factors of 24977?
1, 24977.
What is 24977 in binary?
110000110010001 (hexadecimal 6191, octal 60621).
What is the square root of 24977?
About 158.0411.
Is 24977 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 24977?
24977 is a twin prime (24977 and 24979 are both prime); the 2760th prime number.