The number 62436

Q: Is 62436 a prime number?

No. 62436 = 2^2 × 3 × 11^2 × 43, so it is divisible by 2.

62436 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 3 × $11^{2}$ × 43. Divisors (36): 1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 121, 129, 132 … 62436.

Number

Pick any whole number from 1 to 100,000.

62436 = 2^{2} \times 3 \times 11^{2} \times 43

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How to work it out

1
62436 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
62436 is composite. Its prime factorisation is
$62436 = 2^{2} \times 3 \times 11^{2} \times 43$
3
The divisors add up to 163856; without 62436 itself that is 101420, so 62436 is abundant (101420 is more than 62436). Euler's totient φ(62436) = 18480 numbers up to 62436 share no factor with it.
4
The digits of 62436 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 148 steps to reach 1.

LaTeX source of the formulas on this page

\[ 62436 = 2^{2} \times 3 \times 11^{2} \times 43 \]

62436 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	163856
Euler totient φ(n)	18480
Square	3898254096
Cube	243391392737856
Square root	249.871967 (= 22√129)
Digit sum / digital root	21 / 3
Collatz steps to 1	148
Scientific notation	6.2436 × $10^{4}$

62436 in other forms

Form	Value
In words	sixty-two thousand four hundred and thirty-six
Binary (base 2)	1111001111100100
Octal (base 8)	171744
Hexadecimal (base 16)	F3E4
Base 3	10011122110
As time	62436 seconds = 17 h 20 min 36 s

Is 62436 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (62436 ÷ 2 = 31218)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (62436 ÷ 3 = 20812)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (62436 ÷ 4 = 15609)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (62436 ÷ 6 = 10406)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 3)	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	No (remainder 6)	A number is divisible by 10 if the last digit is 0.
11	Yes (62436 ÷ 11 = 5676)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (62436 ÷ 12 = 5203)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62436 a prime number?

No. 62436 = $2^{2}$ × 3 × $11^{2}$ × 43, so it is divisible by 2.

What are the factors of 62436?

1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 121, 129, 132, 172, 242, 258, 363, 473, 484, 516, 726, 946, 1419, 1452, 1892, 2838, 5203, 5676, 10406, 15609, 20812, 31218, 62436.

What is 62436 in binary?

1111001111100100 (hexadecimal F3E4, octal 171744).

What is the square root of 62436?

About 249.8720, exactly 22√129.

Is 62436 divisible by 3?

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

What is special about the number 62436?

It is a composite number with 36 divisors.