The number 59407
59407 is the 6006th prime number. Its only divisors are 1 and 59407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59407: the 6006th prime number.
- 2
59407 is prime, so its only factors are 1 and 59407. It is the 6006th prime; the next prime is 59417 and the one before is 59399.
- 3
The divisors add up to 59408; without 59407 itself that is 1, so 59407 is deficient (1 is less than 59407). Euler's totient φ(59407) = 59406 numbers up to 59407 share no factor with it.
- 4
The digits of 59407 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 96 steps to reach 1.
59407 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59408 |
| Euler totient φ(n) | 59406 |
| Square | 3529191649 |
| Cube | 209658688292143 |
| Square root | 243.735512 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.9407 × |
59407 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and seven |
| Binary (base 2) | 1110100000001111 |
| Octal (base 8) | 164017 |
| Hexadecimal (base 16) | E80F |
| Base 3 | 10000111021 |
| As time | 59407 seconds = 16 h 30 min 7 s |
Is 59407 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59407 a prime number?
Yes. 59407 is divisible only by 1 and itself.
What are the factors of 59407?
1, 59407.
What is 59407 in binary?
1110100000001111 (hexadecimal E80F, octal 164017).
What is the square root of 59407?
About 243.7355.
Is 59407 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 59407?
59407 is the 6006th prime number.