The number 23660

Q: Is 23660 a prime number?

No. 23660 = 2^2 × 5 × 7 × 13^2, so it is divisible by 2.

23660 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 5 × 7 × $13^{2}$ . Divisors (36): 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91 … 23660.

Number

Pick any whole number from 1 to 100,000.

23660 = 2^{2} \times 5 \times 7 \times 13^{2}

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How to work it out

1
23660 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
23660 is composite. Its prime factorisation is
$23660 = 2^{2} \times 5 \times 7 \times 13^{2}$
3
The divisors add up to 61488; without 23660 itself that is 37828, so 23660 is abundant (37828 is more than 23660). Euler's totient φ(23660) = 7488 numbers up to 23660 share no factor with it.
4
The digits of 23660 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 175 steps to reach 1.

LaTeX source of the formulas on this page

\[ 23660 = 2^{2} \times 5 \times 7 \times 13^{2} \]

23660 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	61488
Euler totient φ(n)	7488
Square	559795600
Cube	13244763896000
Square root	153.818074 (= 26√35)
Digit sum / digital root	17 / 8
Collatz steps to 1	175
Scientific notation	2.366 × $10^{4}$

23660 in other forms

Form	Value
In words	twenty-three thousand six hundred and sixty
Binary (base 2)	101110001101100
Octal (base 8)	56154
Hexadecimal (base 16)	5C6C
Base 3	1012110022
As time	23660 seconds = 6 h 34 min 20 s

Is 23660 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (23660 ÷ 2 = 11830)	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 (23660 ÷ 4 = 5915)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (23660 ÷ 5 = 4732)	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 (23660 ÷ 7 = 3380)	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 (23660 ÷ 10 = 2366)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	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 23660 a prime number?

No. 23660 = $2^{2}$ × 5 × 7 × $13^{2}$ , so it is divisible by 2.

What are the factors of 23660?

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 169, 182, 260, 338, 364, 455, 676, 845, 910, 1183, 1690, 1820, 2366, 3380, 4732, 5915, 11830, 23660.

What is 23660 in binary?

101110001101100 (hexadecimal 5C6C, octal 56154).

What is the square root of 23660?

About 153.8181, exactly 26√35.

Is 23660 divisible by 3?

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

What is special about the number 23660?

It is a composite number with 36 divisors.