The number 63240

Q: Is 63240 a prime number?

No. 63240 = 2^3 × 3 × 5 × 17 × 31, so it is divisible by 2.

63240 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 17 × 31. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 31, 34 … 63240.

Number

Pick any whole number from 1 to 100,000.

63240 = 2^{3} \times 3 \times 5 \times 17 \times 31

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How to work it out

1
What is special about 63240: a Harshad number: divisible by its digit sum 15.
2
63240 is composite. Its prime factorisation is
$63240 = 2^{3} \times 3 \times 5 \times 17 \times 31$
3
The divisors add up to 207360; without 63240 itself that is 144120, so 63240 is abundant (144120 is more than 63240). Euler's totient φ(63240) = 15360 numbers up to 63240 share no factor with it.
4
The digits of 63240 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 192 steps to reach 1.

LaTeX source of the formulas on this page

\[ 63240 = 2^{3} \times 3 \times 5 \times 17 \times 31 \]

63240 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	207360
Euler totient φ(n)	15360
Square	3999297600
Cube	252915580224000
Square root	251.475645 (= 2√15810)
Digit sum / digital root	15 / 6
Collatz steps to 1	192
Scientific notation	6.324 × $10^{4}$

63240 in other forms

Form	Value
In words	sixty-three thousand two hundred and forty
Binary (base 2)	1111011100001000
Octal (base 8)	173410
Hexadecimal (base 16)	F708
Base 3	10012202020
As time	63240 seconds = 17 h 34 min 0 s

Is 63240 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (63240 ÷ 2 = 31620)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (63240 ÷ 3 = 21080)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (63240 ÷ 4 = 15810)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (63240 ÷ 5 = 12648)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (63240 ÷ 6 = 10540)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	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 (63240 ÷ 8 = 7905)	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 (63240 ÷ 10 = 6324)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 1)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (63240 ÷ 12 = 5270)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 63240 a prime number?

No. 63240 = $2^{3}$ × 3 × 5 × 17 × 31, so it is divisible by 2.

What are the factors of 63240?

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 31, 34, 40, 51, 60, 62, 68, 85, 93, 102, 120, 124, 136, 155, 170, 186, 204, 248, 255, 310, 340, 372, 408, 465, 510, 527, 620, 680, 744, 930, 1020, 1054, 1240, 1581, 1860, 2040, 2108, 2635, 3162, 3720, 4216, 5270, 6324, 7905, 10540, 12648, 15810, 21080, 31620, 63240.

What is 63240 in binary?

1111011100001000 (hexadecimal F708, octal 173410).

What is the square root of 63240?

About 251.4756, exactly 2√15810.

Is 63240 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 63240?

63240 is a Harshad number: divisible by its digit sum 15.