The number 46008
46008 is a composite number with 40 divisors. Its prime factorisation is × × 71. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 71, 72, 81 … 46008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46008: a Harshad number: divisible by its digit sum 18.
- 2
46008 is composite. Its prime factorisation is
- 3
The divisors add up to 130680; without 46008 itself that is 84672, so 46008 is abundant (84672 is more than 46008). Euler's totient φ(46008) = 15120 numbers up to 46008 share no factor with it.
- 4
The digits of 46008 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46008 = 2^{3} \times 3^{4} \times 71 \]46008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 130680 |
| Euler totient φ(n) | 15120 |
| Square | 2116736064 |
| Cube | 97386792832512 |
| Square root | 214.494755 (= 18√142) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6008 × |
46008 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and eight |
| Binary (base 2) | 1011001110111000 |
| Octal (base 8) | 131670 |
| Hexadecimal (base 16) | B3B8 |
| Base 3 | 2100010000 |
| As time | 46008 seconds = 12 h 46 min 48 s |
Is 46008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46008 ÷ 2 = 23004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46008 ÷ 3 = 15336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46008 ÷ 4 = 11502) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46008 ÷ 6 = 7668) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (46008 ÷ 8 = 5751) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46008 ÷ 9 = 5112) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46008 ÷ 12 = 3834) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46008 a prime number?
No. 46008 = × × 71, so it is divisible by 2.
What are the factors of 46008?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 71, 72, 81, 108, 142, 162, 213, 216, 284, 324, 426, 568, 639, 648, 852, 1278, 1704, 1917, 2556, 3834, 5112, 5751, 7668, 11502, 15336, 23004, 46008.
What is 46008 in binary?
1011001110111000 (hexadecimal B3B8, octal 131670).
What is the square root of 46008?
About 214.4948, exactly 18√142.
Is 46008 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46008?
46008 is a Harshad number: divisible by its digit sum 18.