The number 61007
61007 is the 6147th prime number. Its only divisors are 1 and 61007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61007: the 6147th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61007 is prime, so its only factors are 1 and 61007. It is the 6147th prime; the next prime is 61027 and the one before is 61001.
- 3
The divisors add up to 61008; without 61007 itself that is 1, so 61007 is deficient (1 is less than 61007). Euler's totient φ(61007) = 61006 numbers up to 61007 share no factor with it.
- 4
The digits of 61007 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
61007 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61008 |
| Euler totient φ(n) | 61006 |
| Square | 3721854049 |
| Cube | 227059149967343 |
| Square root | 246.995951 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1007 × |
61007 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and seven |
| Binary (base 2) | 1110111001001111 |
| Octal (base 8) | 167117 |
| Hexadecimal (base 16) | EE4F |
| Base 3 | 10002200112 |
| As time | 61007 seconds = 16 h 56 min 47 s |
Is 61007 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 1) | 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 61007 a prime number?
Yes. 61007 is divisible only by 1 and itself.
What are the factors of 61007?
1, 61007.
What is 61007 in binary?
1110111001001111 (hexadecimal EE4F, octal 167117).
What is the square root of 61007?
About 246.9960.
Is 61007 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 61007?
61007 is the 6147th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.