The number 63007
63007 is a composite number with 4 divisors. Its prime factorisation is 7 × 9001. Divisors (4): 1, 7, 9001, 63007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 63007: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 9001, the product of two primes.
- 2
63007 is composite. Its prime factorisation is
- 3
The divisors add up to 72016; without 63007 itself that is 9009, so 63007 is deficient (9009 is less than 63007). Euler's totient φ(63007) = 54000 numbers up to 63007 share no factor with it.
- 4
The digits of 63007 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63007 = 7 \times 9001 \]
63007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 72016 |
| Euler totient φ(n) | 54000 |
| Square | 3969882049 |
| Cube | 250130358261343 |
| Square root | 251.011952 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.3007 × |
63007 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand and seven |
| Binary (base 2) | 1111011000011111 |
| Octal (base 8) | 173037 |
| Hexadecimal (base 16) | F61F |
| Base 3 | 10012102121 |
| As time | 63007 seconds = 17 h 30 min 7 s |
Is 63007 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 | Yes (63007 ÷ 7 = 9001) | 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 10) | 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 63007 a prime number?
No. 63007 = 7 × 9001, so it is divisible by 7.
What are the factors of 63007?
1, 7, 9001, 63007.
What is 63007 in binary?
1111011000011111 (hexadecimal F61F, octal 173037).
What is the square root of 63007?
About 251.0120.
Is 63007 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 63007?
63007 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 9001, the product of two primes.