The number 48007
48007 is a composite number with 4 divisors. Its prime factorisation is 61 × 787. Divisors (4): 1, 61, 787, 48007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48007: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 787, the product of two primes.
- 2
48007 is composite. Its prime factorisation is
- 3
The divisors add up to 48856; without 48007 itself that is 849, so 48007 is deficient (849 is less than 48007). Euler's totient φ(48007) = 47160 numbers up to 48007 share no factor with it.
- 4
The digits of 48007 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48007 = 61 \times 787 \]
48007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 48856 |
| Euler totient φ(n) | 47160 |
| Square | 2304672049 |
| Cube | 110640391056343 |
| Square root | 219.104998 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8007 × |
48007 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and seven |
| Binary (base 2) | 1011101110000111 |
| Octal (base 8) | 135607 |
| Hexadecimal (base 16) | BB87 |
| Base 3 | 2102212001 |
| As time | 48007 seconds = 13 h 20 min 7 s |
Is 48007 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 1) | 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 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 3) | 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 48007 a prime number?
No. 48007 = 61 × 787, so it is divisible by 61.
What are the factors of 48007?
1, 61, 787, 48007.
What is 48007 in binary?
1011101110000111 (hexadecimal BB87, octal 135607).
What is the square root of 48007?
About 219.1050.
Is 48007 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 48007?
48007 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 787, the product of two primes.