The number 46572
46572 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3881. Divisors (12): 1, 2, 3, 4, 6, 12, 3881, 7762, 11643, 15524, 23286, 46572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46572: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46572 is composite. Its prime factorisation is
- 3
The divisors add up to 108696; without 46572 itself that is 62124, so 46572 is abundant (62124 is more than 46572). Euler's totient φ(46572) = 15520 numbers up to 46572 share no factor with it.
- 4
The digits of 46572 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46572 = 2^{2} \times 3 \times 3881 \]46572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 108696 |
| Euler totient φ(n) | 15520 |
| Square | 2168951184 |
| Cube | 101012394541248 |
| Square root | 215.805468 (= 2√11643) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6572 × |
46572 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand five hundred and seventy-two |
| Binary (base 2) | 1011010111101100 |
| Octal (base 8) | 132754 |
| Hexadecimal (base 16) | B5EC |
| Base 3 | 2100212220 |
| As time | 46572 seconds = 12 h 56 min 12 s |
Is 46572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46572 ÷ 2 = 23286) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46572 ÷ 3 = 15524) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46572 ÷ 4 = 11643) | 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 (46572 ÷ 6 = 7762) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46572 ÷ 12 = 3881) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46572 a prime number?
No. 46572 = × 3 × 3881, so it is divisible by 2.
What are the factors of 46572?
1, 2, 3, 4, 6, 12, 3881, 7762, 11643, 15524, 23286, 46572.
What is 46572 in binary?
1011010111101100 (hexadecimal B5EC, octal 132754).
What is the square root of 46572?
About 215.8055, exactly 2√11643.
Is 46572 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46572?
46572 is a happy number: repeatedly adding the squares of its digits reaches 1.