The number 46172
46172 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 97. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 68, 97, 119, 194, 238, 388, 476, 679 … 46172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46172 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46172 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 46172 itself that is 52612, so 46172 is abundant (52612 is more than 46172). Euler's totient φ(46172) = 18432 numbers up to 46172 share no factor with it.
- 4
The digits of 46172 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46172 = 2^{2} \times 7 \times 17 \times 97 \]46172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 18432 |
| Square | 2131853584 |
| Cube | 98431943680448 |
| Square root | 214.876709 (= 2√11543) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6172 × |
46172 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and seventy-two |
| Binary (base 2) | 1011010001011100 |
| Octal (base 8) | 132134 |
| Hexadecimal (base 16) | B45C |
| Base 3 | 2100100002 |
| As time | 46172 seconds = 12 h 49 min 32 s |
Is 46172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46172 ÷ 2 = 23086) | 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 | Yes (46172 ÷ 4 = 11543) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46172 ÷ 7 = 6596) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46172 a prime number?
No. 46172 = × 7 × 17 × 97, so it is divisible by 2.
What are the factors of 46172?
1, 2, 4, 7, 14, 17, 28, 34, 68, 97, 119, 194, 238, 388, 476, 679, 1358, 1649, 2716, 3298, 6596, 11543, 23086, 46172.
What is 46172 in binary?
1011010001011100 (hexadecimal B45C, octal 132134).
What is the square root of 46172?
About 214.8767, exactly 2√11543.
Is 46172 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46172?
It is a composite number with 24 divisors.