The number 26220

Q: Is 26220 a prime number?

No. 26220 = 2^2 × 3 × 5 × 19 × 23, so it is divisible by 2.

26220 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 19 × 23. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 23, 30, 38, 46, 57 … 26220.

Number

Pick any whole number from 1 to 100,000.

26220 = 2^{2} \times 3 \times 5 \times 19 \times 23

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

How to work it out

1
What is special about 26220: a Harshad number: divisible by its digit sum 12.
2
26220 is composite. Its prime factorisation is
$26220 = 2^{2} \times 3 \times 5 \times 19 \times 23$
3
The divisors add up to 80640; without 26220 itself that is 54420, so 26220 is abundant (54420 is more than 26220). Euler's totient φ(26220) = 6336 numbers up to 26220 share no factor with it.
4
The digits of 26220 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.

LaTeX source of the formulas on this page

\[ 26220 = 2^{2} \times 3 \times 5 \times 19 \times 23 \]

26220 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	80640
Euler totient φ(n)	6336
Square	687488400
Cube	18025945848000
Square root	161.925909 (= 2√6555)
Digit sum / digital root	12 / 3
Collatz steps to 1	51
Scientific notation	2.622 × $10^{4}$

26220 in other forms

Form	Value
In words	twenty-six thousand two hundred and twenty
Binary (base 2)	110011001101100
Octal (base 8)	63154
Hexadecimal (base 16)	666C
Base 3	1022222010
As time	26220 seconds = 7 h 17 min 0 s

Is 26220 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (26220 ÷ 2 = 13110)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (26220 ÷ 3 = 8740)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (26220 ÷ 4 = 6555)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (26220 ÷ 5 = 5244)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (26220 ÷ 6 = 4370)	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	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (26220 ÷ 10 = 2622)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 7)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (26220 ÷ 12 = 2185)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 26220 a prime number?

No. 26220 = $2^{2}$ × 3 × 5 × 19 × 23, so it is divisible by 2.

What are the factors of 26220?

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 23, 30, 38, 46, 57, 60, 69, 76, 92, 95, 114, 115, 138, 190, 228, 230, 276, 285, 345, 380, 437, 460, 570, 690, 874, 1140, 1311, 1380, 1748, 2185, 2622, 4370, 5244, 6555, 8740, 13110, 26220.

What is 26220 in binary?

110011001101100 (hexadecimal 666C, octal 63154).

What is the square root of 26220?

About 161.9259, exactly 2√6555.

Is 26220 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 26220?

26220 is a Harshad number: divisible by its digit sum 12.