The number 46872
46872 is a composite number with 64 divisors. Its prime factorisation is × × 7 × 31. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 31 … 46872.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46872: a Harshad number: divisible by its digit sum 27.
- 2
46872 is composite. Its prime factorisation is
- 3
The divisors add up to 153600; without 46872 itself that is 106728, so 46872 is abundant (106728 is more than 46872). Euler's totient φ(46872) = 12960 numbers up to 46872 share no factor with it.
- 4
The digits of 46872 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46872 = 2^{3} \times 3^{3} \times 7 \times 31 \]46872 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 153600 |
| Euler totient φ(n) | 12960 |
| Square | 2196984384 |
| Cube | 102977052046848 |
| Square root | 216.499423 (= 6√1302) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.6872 × |
46872 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and seventy-two |
| Binary (base 2) | 1011011100011000 |
| Octal (base 8) | 133430 |
| Hexadecimal (base 16) | B718 |
| Base 3 | 2101022000 |
| As time | 46872 seconds = 13 h 1 min 12 s |
Is 46872 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46872 ÷ 2 = 23436) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46872 ÷ 3 = 15624) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46872 ÷ 4 = 11718) | 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 | Yes (46872 ÷ 6 = 7812) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46872 ÷ 7 = 6696) | 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 (46872 ÷ 8 = 5859) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46872 ÷ 9 = 5208) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (46872 ÷ 12 = 3906) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46872 a prime number?
No. 46872 = × × 7 × 31, so it is divisible by 2.
What are the factors of 46872?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 31, 36, 42, 54, 56, 62, 63, 72, 84, 93, 108, 124, 126, 168, 186, 189, 216, 217, 248, 252, 279, 372, 378, 434, 504, 558, 651, 744, 756, 837, 868, 1116, 1302, 1512, 1674, 1736, 1953, 2232, 2604, 3348, 3906, 5208, 5859, 6696, 7812, 11718, 15624, 23436, 46872.
What is 46872 in binary?
1011011100011000 (hexadecimal B718, octal 133430).
What is the square root of 46872?
About 216.4994, exactly 6√1302.
Is 46872 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46872?
46872 is a Harshad number: divisible by its digit sum 27.