The number 18620

Q: Is 18620 a prime number?

No. 18620 = 2^2 × 5 × 7^2 × 19, so it is divisible by 2.

18620 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 5 × $7^{2}$ × 19. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 49, 70, 76, 95 … 18620.

Number

Pick any whole number from 1 to 100,000.

18620 = 2^{2} \times 5 \times 7^{2} \times 19

Explain it step by step in chat Make a short video of it

How to work it out

1
18620 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
18620 is composite. Its prime factorisation is
$18620 = 2^{2} \times 5 \times 7^{2} \times 19$
3
The divisors add up to 47880; without 18620 itself that is 29260, so 18620 is abundant (29260 is more than 18620). Euler's totient φ(18620) = 6048 numbers up to 18620 share no factor with it.
4
The digits of 18620 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.

LaTeX source of the formulas on this page

\[ 18620 = 2^{2} \times 5 \times 7^{2} \times 19 \]

18620 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	47880
Euler totient φ(n)	6048
Square	346704400
Cube	6455635928000
Square root	136.455121 (= 14√95)
Digit sum / digital root	17 / 8
Collatz steps to 1	92
Scientific notation	1.862 × $10^{4}$

18620 in other forms

Form	Value
In words	eighteen thousand six hundred and twenty
Binary (base 2)	100100010111100
Octal (base 8)	44274
Hexadecimal (base 16)	48BC
Base 3	221112122
As time	18620 seconds = 5 h 10 min 20 s

Is 18620 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (18620 ÷ 2 = 9310)	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 (18620 ÷ 4 = 4655)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (18620 ÷ 5 = 3724)	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 (18620 ÷ 7 = 2660)	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 8)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (18620 ÷ 10 = 1862)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 8)	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 18620 a prime number?

No. 18620 = $2^{2}$ × 5 × $7^{2}$ × 19, so it is divisible by 2.

What are the factors of 18620?

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 49, 70, 76, 95, 98, 133, 140, 190, 196, 245, 266, 380, 490, 532, 665, 931, 980, 1330, 1862, 2660, 3724, 4655, 9310, 18620.

What is 18620 in binary?

100100010111100 (hexadecimal 48BC, octal 44274).

What is the square root of 18620?

About 136.4551, exactly 14√95.

Is 18620 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 18620?

It is a composite number with 36 divisors.