The number 63480

Q: Is 63480 a prime number?

No. 63480 = 2^3 × 3 × 5 × 23^2, so it is divisible by 2.

63480 is a composite number with 48 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × $23^{2}$ . Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46 … 63480.

Number

Pick any whole number from 1 to 100,000.

63480 = 2^{3} \times 3 \times 5 \times 23^{2}

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How to work it out

1
63480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
63480 is composite. Its prime factorisation is
$63480 = 2^{3} \times 3 \times 5 \times 23^{2}$
3
The divisors add up to 199080; without 63480 itself that is 135600, so 63480 is abundant (135600 is more than 63480). Euler's totient φ(63480) = 16192 numbers up to 63480 share no factor with it.
4
The digits of 63480 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.

LaTeX source of the formulas on this page

\[ 63480 = 2^{3} \times 3 \times 5 \times 23^{2} \]

63480 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	199080
Euler totient φ(n)	16192
Square	4029710400
Cube	255806016192000
Square root	251.952376 (= 46√30)
Digit sum / digital root	21 / 3
Collatz steps to 1	130
Scientific notation	6.348 × $10^{4}$

63480 in other forms

Form	Value
In words	sixty-three thousand four hundred and eighty
Binary (base 2)	1111011111111000
Octal (base 8)	173770
Hexadecimal (base 16)	F7F8
Base 3	10020002010
As time	63480 seconds = 17 h 38 min 0 s

Is 63480 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (63480 ÷ 2 = 31740)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (63480 ÷ 3 = 21160)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (63480 ÷ 4 = 15870)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (63480 ÷ 5 = 12696)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (63480 ÷ 6 = 10580)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 4)	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 (63480 ÷ 8 = 7935)	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 (63480 ÷ 10 = 6348)	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	Yes (63480 ÷ 12 = 5290)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 63480 a prime number?

No. 63480 = $2^{3}$ × 3 × 5 × $23^{2}$ , so it is divisible by 2.

What are the factors of 63480?

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 529, 552, 690, 920, 1058, 1380, 1587, 2116, 2645, 2760, 3174, 4232, 5290, 6348, 7935, 10580, 12696, 15870, 21160, 31740, 63480.

What is 63480 in binary?

1111011111111000 (hexadecimal F7F8, octal 173770).

What is the square root of 63480?

About 251.9524, exactly 46√30.

Is 63480 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 63480?

It is a composite number with 48 divisors.