The number 18352
18352 is a composite number with 20 divisors. Its prime factorisation is × 31 × 37. Divisors (20): 1, 2, 4, 8, 16, 31, 37, 62, 74, 124, 148, 248, 296, 496, 592, 1147 … 18352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18352: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18352 is composite. Its prime factorisation is
- 3
The divisors add up to 37696; without 18352 itself that is 19344, so 18352 is abundant (19344 is more than 18352). Euler's totient φ(18352) = 8640 numbers up to 18352 share no factor with it.
- 4
The digits of 18352 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18352 = 2^{4} \times 31 \times 37 \]18352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 37696 |
| Euler totient φ(n) | 8640 |
| Square | 336795904 |
| Cube | 6180878430208 |
| Square root | 135.469554 (= 4√1147) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8352 × |
18352 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and fifty-two |
| Binary (base 2) | 100011110110000 |
| Octal (base 8) | 43660 |
| Hexadecimal (base 16) | 47B0 |
| Base 3 | 221011201 |
| As time | 18352 seconds = 5 h 5 min 52 s |
Is 18352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18352 ÷ 2 = 9176) | 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 (18352 ÷ 4 = 4588) | 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 5) | 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 (18352 ÷ 8 = 2294) | 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 4) | 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 18352 a prime number?
No. 18352 = × 31 × 37, so it is divisible by 2.
What are the factors of 18352?
1, 2, 4, 8, 16, 31, 37, 62, 74, 124, 148, 248, 296, 496, 592, 1147, 2294, 4588, 9176, 18352.
What is 18352 in binary?
100011110110000 (hexadecimal 47B0, octal 43660).
What is the square root of 18352?
About 135.4696, exactly 4√1147.
Is 18352 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 18352?
18352 is a happy number: repeatedly adding the squares of its digits reaches 1.