The number 18460
18460 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 71. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 71, 130, 142, 260, 284, 355 … 18460.
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How to work it out
- 1
18460 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18460 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 18460 itself that is 23876, so 18460 is abundant (23876 is more than 18460). Euler's totient φ(18460) = 6720 numbers up to 18460 share no factor with it.
- 4
The digits of 18460 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 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18460 = 2^{2} \times 5 \times 13 \times 71 \]18460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 6720 |
| Square | 340771600 |
| Cube | 6290643736000 |
| Square root | 135.867583 (= 2√4615) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.846 × |
18460 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and sixty |
| Binary (base 2) | 100100000011100 |
| Octal (base 8) | 44034 |
| Hexadecimal (base 16) | 481C |
| Base 3 | 221022201 |
| As time | 18460 seconds = 5 h 7 min 40 s |
Is 18460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18460 ÷ 2 = 9230) | 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 (18460 ÷ 4 = 4615) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18460 ÷ 5 = 3692) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18460 ÷ 10 = 1846) | 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 18460 a prime number?
No. 18460 = × 5 × 13 × 71, so it is divisible by 2.
What are the factors of 18460?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 71, 130, 142, 260, 284, 355, 710, 923, 1420, 1846, 3692, 4615, 9230, 18460.
What is 18460 in binary?
100100000011100 (hexadecimal 481C, octal 44034).
What is the square root of 18460?
About 135.8676, exactly 2√4615.
Is 18460 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 18460?
It is a composite number with 24 divisors.