The number 63420

Q: Is 63420 a prime number?

No. 63420 = 2^2 × 3 × 5 × 7 × 151, so it is divisible by 2.

63420 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × 151. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 63420.

Number

Pick any whole number from 1 to 100,000.

63420 = 2^{2} \times 3 \times 5 \times 7 \times 151

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How to work it out

1
What is special about 63420: a Harshad number: divisible by its digit sum 15.
2
63420 is composite. Its prime factorisation is
$63420 = 2^{2} \times 3 \times 5 \times 7 \times 151$
3
The divisors add up to 204288; without 63420 itself that is 140868, so 63420 is abundant (140868 is more than 63420). Euler's totient φ(63420) = 14400 numbers up to 63420 share no factor with it.
4
The digits of 63420 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 223 steps to reach 1.

LaTeX source of the formulas on this page

\[ 63420 = 2^{2} \times 3 \times 5 \times 7 \times 151 \]

63420 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	204288
Euler totient φ(n)	14400
Square	4022096400
Cube	255081353688000
Square root	251.833278 (= 2√15855)
Digit sum / digital root	15 / 6
Collatz steps to 1	223
Scientific notation	6.342 × $10^{4}$

63420 in other forms

Form	Value
In words	sixty-three thousand four hundred and twenty
Binary (base 2)	1111011110111100
Octal (base 8)	173674
Hexadecimal (base 16)	F7BC
Base 3	10012222220
As time	63420 seconds = 17 h 37 min 0 s

Is 63420 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (63420 ÷ 2 = 31710)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (63420 ÷ 3 = 21140)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (63420 ÷ 4 = 15855)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (63420 ÷ 5 = 12684)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (63420 ÷ 6 = 10570)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (63420 ÷ 7 = 9060)	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 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (63420 ÷ 10 = 6342)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 5)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (63420 ÷ 12 = 5285)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 63420 a prime number?

No. 63420 = $2^{2}$ × 3 × 5 × 7 × 151, so it is divisible by 2.

What are the factors of 63420?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 151, 210, 302, 420, 453, 604, 755, 906, 1057, 1510, 1812, 2114, 2265, 3020, 3171, 4228, 4530, 5285, 6342, 9060, 10570, 12684, 15855, 21140, 31710, 63420.

What is 63420 in binary?

1111011110111100 (hexadecimal F7BC, octal 173674).

What is the square root of 63420?

About 251.8333, exactly 2√15855.

Is 63420 divisible by 3?

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

What is special about the number 63420?

63420 is a Harshad number: divisible by its digit sum 15.