The number 48692
48692 is a composite number with 24 divisors. Its prime factorisation is × 7 × 37 × 47. Divisors (24): 1, 2, 4, 7, 14, 28, 37, 47, 74, 94, 148, 188, 259, 329, 518, 658 … 48692.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48692 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48692 is composite. Its prime factorisation is
- 3
The divisors add up to 102144; without 48692 itself that is 53452, so 48692 is abundant (53452 is more than 48692). Euler's totient φ(48692) = 19872 numbers up to 48692 share no factor with it.
- 4
The digits of 48692 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48692 = 2^{2} \times 7 \times 37 \times 47 \]48692 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102144 |
| Euler totient φ(n) | 19872 |
| Square | 2370910864 |
| Cube | 115444391789888 |
| Square root | 220.662638 (= 2√12173) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8692 × |
48692 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and ninety-two |
| Binary (base 2) | 1011111000110100 |
| Octal (base 8) | 137064 |
| Hexadecimal (base 16) | BE34 |
| Base 3 | 2110210102 |
| As time | 48692 seconds = 13 h 31 min 32 s |
Is 48692 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48692 ÷ 2 = 24346) | 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 (48692 ÷ 4 = 12173) | 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 (48692 ÷ 7 = 6956) | 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 6) | 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 48692 a prime number?
No. 48692 = × 7 × 37 × 47, so it is divisible by 2.
What are the factors of 48692?
1, 2, 4, 7, 14, 28, 37, 47, 74, 94, 148, 188, 259, 329, 518, 658, 1036, 1316, 1739, 3478, 6956, 12173, 24346, 48692.
What is 48692 in binary?
1011111000110100 (hexadecimal BE34, octal 137064).
What is the square root of 48692?
About 220.6626, exactly 2√12173.
Is 48692 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 48692?
It is a composite number with 24 divisors.