The number 48407
48407 is a twin prime (48407 and 48409 are both prime) and the 4979th prime number. Its only divisors are 1 and 48407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48407: a twin prime (48407 and 48409 are both prime); the 4979th prime number.
- 2
48407 is prime, so its only factors are 1 and 48407. It is the 4979th prime; the next prime is 48409 and the one before is 48397.
- 3
The divisors add up to 48408; without 48407 itself that is 1, so 48407 is deficient (1 is less than 48407). Euler's totient φ(48407) = 48406 numbers up to 48407 share no factor with it.
- 4
The digits of 48407 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
48407 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48408 |
| Euler totient φ(n) | 48406 |
| Square | 2343237649 |
| Cube | 113429104875143 |
| Square root | 220.015909 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8407 × |
48407 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and seven |
| Binary (base 2) | 1011110100010111 |
| Octal (base 8) | 136427 |
| Hexadecimal (base 16) | BD17 |
| Base 3 | 2110101212 |
| As time | 48407 seconds = 13 h 26 min 47 s |
Is 48407 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 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48407 a prime number?
Yes. 48407 is divisible only by 1 and itself.
What are the factors of 48407?
1, 48407.
What is 48407 in binary?
1011110100010111 (hexadecimal BD17, octal 136427).
What is the square root of 48407?
About 220.0159.
Is 48407 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48407?
48407 is a twin prime (48407 and 48409 are both prime); the 4979th prime number.