The number 46007
46007 is a composite number with 4 divisors. Its prime factorisation is 13 × 3539. Divisors (4): 1, 13, 3539, 46007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46007: a semiprime: 13 × 3539, the product of two primes.
- 2
46007 is composite. Its prime factorisation is
- 3
The divisors add up to 49560; without 46007 itself that is 3553, so 46007 is deficient (3553 is less than 46007). Euler's totient φ(46007) = 42456 numbers up to 46007 share no factor with it.
- 4
The digits of 46007 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46007 = 13 \times 3539 \]
46007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49560 |
| Euler totient φ(n) | 42456 |
| Square | 2116644049 |
| Cube | 97380442762343 |
| Square root | 214.492424 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6007 × |
46007 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and seven |
| Binary (base 2) | 1011001110110111 |
| Octal (base 8) | 131667 |
| Hexadecimal (base 16) | B3B7 |
| Base 3 | 2100002222 |
| As time | 46007 seconds = 12 h 46 min 47 s |
Is 46007 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 3) | 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 8) | 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 5) | 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 46007 a prime number?
No. 46007 = 13 × 3539, so it is divisible by 13.
What are the factors of 46007?
1, 13, 3539, 46007.
What is 46007 in binary?
1011001110110111 (hexadecimal B3B7, octal 131667).
What is the square root of 46007?
About 214.4924.
Is 46007 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 46007?
46007 is a semiprime: 13 × 3539, the product of two primes.