The number 48840

Q: Is 48840 a prime number?

No. 48840 = 2^3 × 3 × 5 × 11 × 37, so it is divisible by 2.

48840 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 11 × 37. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33 … 48840.

Number

Pick any whole number from 1 to 100,000.

48840 = 2^{3} \times 3 \times 5 \times 11 \times 37

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How to work it out

1
What is special about 48840: a Harshad number: divisible by its digit sum 24.
2
48840 is composite. Its prime factorisation is
$48840 = 2^{3} \times 3 \times 5 \times 11 \times 37$
3
The divisors add up to 164160; without 48840 itself that is 115320, so 48840 is abundant (115320 is more than 48840). Euler's totient φ(48840) = 11520 numbers up to 48840 share no factor with it.
4
The digits of 48840 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.

LaTeX source of the formulas on this page

\[ 48840 = 2^{3} \times 3 \times 5 \times 11 \times 37 \]

48840 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	164160
Euler totient φ(n)	11520
Square	2385345600
Cube	116500279104000
Square root	220.997738 (= 2√12210)
Digit sum / digital root	24 / 6
Collatz steps to 1	114
Scientific notation	4.884 × $10^{4}$

48840 in other forms

Form	Value
In words	forty-eight thousand eight hundred and forty
Binary (base 2)	1011111011001000
Octal (base 8)	137310
Hexadecimal (base 16)	BEC8
Base 3	2110222220
As time	48840 seconds = 13 h 34 min 0 s

Is 48840 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (48840 ÷ 2 = 24420)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (48840 ÷ 3 = 16280)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (48840 ÷ 4 = 12210)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (48840 ÷ 5 = 9768)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (48840 ÷ 6 = 8140)	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	Yes (48840 ÷ 8 = 6105)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (48840 ÷ 10 = 4884)	A number is divisible by 10 if the last digit is 0.
11	Yes (48840 ÷ 11 = 4440)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (48840 ÷ 12 = 4070)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48840 a prime number?

No. 48840 = $2^{3}$ × 3 × 5 × 11 × 37, so it is divisible by 2.

What are the factors of 48840?

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 37, 40, 44, 55, 60, 66, 74, 88, 110, 111, 120, 132, 148, 165, 185, 220, 222, 264, 296, 330, 370, 407, 440, 444, 555, 660, 740, 814, 888, 1110, 1221, 1320, 1480, 1628, 2035, 2220, 2442, 3256, 4070, 4440, 4884, 6105, 8140, 9768, 12210, 16280, 24420, 48840.

What is 48840 in binary?

1011111011001000 (hexadecimal BEC8, octal 137310).

What is the square root of 48840?

About 220.9977, exactly 2√12210.

Is 48840 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 48840?

48840 is a Harshad number: divisible by its digit sum 24.