The number 23977
23977 is the 2666th prime number. Its only divisors are 1 and 23977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23977: the 2666th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23977 is prime, so its only factors are 1 and 23977. It is the 2666th prime; the next prime is 23981 and the one before is 23971.
- 3
The divisors add up to 23978; without 23977 itself that is 1, so 23977 is deficient (1 is less than 23977). Euler's totient φ(23977) = 23976 numbers up to 23977 share no factor with it.
- 4
The digits of 23977 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 144 steps to reach 1.
23977 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 23978 |
| Euler totient φ(n) | 23976 |
| Square | 574896529 |
| Cube | 13784294075833 |
| Square root | 154.845084 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3977 × |
23977 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and seventy-seven |
| Binary (base 2) | 101110110101001 |
| Octal (base 8) | 56651 |
| Hexadecimal (base 16) | 5DA9 |
| Base 3 | 1012220001 |
| As time | 23977 seconds = 6 h 39 min 37 s |
Is 23977 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 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 8) | 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 23977 a prime number?
Yes. 23977 is divisible only by 1 and itself.
What are the factors of 23977?
1, 23977.
What is 23977 in binary?
101110110101001 (hexadecimal 5DA9, octal 56651).
What is the square root of 23977?
About 154.8451.
Is 23977 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 23977?
23977 is the 2666th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.