The number 46972
46972 is a composite number with 6 divisors. Its prime factorisation is × 11743. Divisors (6): 1, 2, 4, 11743, 23486, 46972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46972 is composite. Its prime factorisation is
- 3
The divisors add up to 82208; without 46972 itself that is 35236, so 46972 is deficient (35236 is less than 46972). Euler's totient φ(46972) = 23484 numbers up to 46972 share no factor with it.
- 4
The digits of 46972 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46972 = 2^{2} \times 11743 \]46972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 82208 |
| Euler totient φ(n) | 23484 |
| Square | 2206368784 |
| Cube | 103637554522048 |
| Square root | 216.730247 (= 2√11743) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6972 × |
46972 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and seventy-two |
| Binary (base 2) | 1011011101111100 |
| Octal (base 8) | 133574 |
| Hexadecimal (base 16) | B77C |
| Base 3 | 2101102201 |
| As time | 46972 seconds = 13 h 2 min 52 s |
Is 46972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46972 ÷ 2 = 23486) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46972 ÷ 4 = 11743) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46972 a prime number?
No. 46972 = × 11743, so it is divisible by 2.
What are the factors of 46972?
1, 2, 4, 11743, 23486, 46972.
What is 46972 in binary?
1011011101111100 (hexadecimal B77C, octal 133574).
What is the square root of 46972?
About 216.7302, exactly 2√11743.
Is 46972 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 46972?
It is a composite number with 6 divisors.