The number 46060

Q: Is 46060 a prime number?

No. 46060 = 2^2 × 5 × 7^2 × 47, so it is divisible by 2.

46060 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 5 × $7^{2}$ × 47. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 49, 70, 94, 98, 140 … 46060.

Number

Pick any whole number from 1 to 100,000.

46060 = 2^{2} \times 5 \times 7^{2} \times 47

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How to work it out

1
46060 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
46060 is composite. Its prime factorisation is
$46060 = 2^{2} \times 5 \times 7^{2} \times 47$
3
The divisors add up to 114912; without 46060 itself that is 68852, so 46060 is abundant (68852 is more than 46060). Euler's totient φ(46060) = 15456 numbers up to 46060 share no factor with it.
4
The digits of 46060 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.

LaTeX source of the formulas on this page

\[ 46060 = 2^{2} \times 5 \times 7^{2} \times 47 \]

46060 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	114912
Euler totient φ(n)	15456
Square	2121523600
Cube	97717377016000
Square root	214.615936 (= 14√235)
Digit sum / digital root	16 / 7
Collatz steps to 1	114
Scientific notation	4.606 × $10^{4}$

46060 in other forms

Form	Value
In words	forty-six thousand and sixty
Binary (base 2)	1011001111101100
Octal (base 8)	131754
Hexadecimal (base 16)	B3EC
Base 3	2100011221
As time	46060 seconds = 12 h 47 min 40 s

Is 46060 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (46060 ÷ 2 = 23030)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (46060 ÷ 4 = 11515)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (46060 ÷ 5 = 9212)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (46060 ÷ 7 = 6580)	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 7)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (46060 ÷ 10 = 4606)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46060 a prime number?

No. 46060 = $2^{2}$ × 5 × $7^{2}$ × 47, so it is divisible by 2.

What are the factors of 46060?

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 49, 70, 94, 98, 140, 188, 196, 235, 245, 329, 470, 490, 658, 940, 980, 1316, 1645, 2303, 3290, 4606, 6580, 9212, 11515, 23030, 46060.

What is 46060 in binary?

1011001111101100 (hexadecimal B3EC, octal 131754).

What is the square root of 46060?

About 214.6159, exactly 14√235.

Is 46060 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 46060?

It is a composite number with 36 divisors.