The number 46620

Q: Is 46620 a prime number?

No. 46620 = 2^2 × 3^2 × 5 × 7 × 37, so it is divisible by 2.

46620 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × 7 × 37. Divisors (72): 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28 … 46620.

Number

Pick any whole number from 1 to 100,000.

46620 = 2^{2} \times 3^{2} \times 5 \times 7 \times 37

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How to work it out

1
What is special about 46620: a Harshad number: divisible by its digit sum 18.
2
46620 is composite. Its prime factorisation is
$46620 = 2^{2} \times 3^{2} \times 5 \times 7 \times 37$
3
The divisors add up to 165984; without 46620 itself that is 119364, so 46620 is abundant (119364 is more than 46620). Euler's totient φ(46620) = 10368 numbers up to 46620 share no factor with it.
4
The digits of 46620 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.

LaTeX source of the formulas on this page

\[ 46620 = 2^{2} \times 3^{2} \times 5 \times 7 \times 37 \]

46620 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	165984
Euler totient φ(n)	10368
Square	2173424400
Cube	101325045528000
Square root	215.916651 (= 6√1295)
Digit sum / digital root	18 / 9
Collatz steps to 1	52
Scientific notation	4.662 × $10^{4}$

46620 in other forms

Form	Value
In words	forty-six thousand six hundred and twenty
Binary (base 2)	1011011000011100
Octal (base 8)	133034
Hexadecimal (base 16)	B61C
Base 3	2100221200
As time	46620 seconds = 12 h 57 min 0 s

Is 46620 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (46620 ÷ 2 = 23310)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (46620 ÷ 3 = 15540)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (46620 ÷ 4 = 11655)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (46620 ÷ 5 = 9324)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (46620 ÷ 6 = 7770)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (46620 ÷ 7 = 6660)	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	Yes (46620 ÷ 9 = 5180)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (46620 ÷ 10 = 4662)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 2)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (46620 ÷ 12 = 3885)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46620 a prime number?

No. 46620 = $2^{2}$ × $3^{2}$ × 5 × 7 × 37, so it is divisible by 2.

What are the factors of 46620?

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 37, 42, 45, 60, 63, 70, 74, 84, 90, 105, 111, 126, 140, 148, 180, 185, 210, 222, 252, 259, 315, 333, 370, 420, 444, 518, 555, 630, 666, 740, 777, 1036, 1110, 1260, 1295, 1332, 1554, 1665, 2220, 2331, 2590, 3108, 3330, 3885, 4662, 5180, 6660, 7770, 9324, 11655, 15540, 23310, 46620.

What is 46620 in binary?

1011011000011100 (hexadecimal B61C, octal 133034).

What is the square root of 46620?

About 215.9167, exactly 6√1295.

Is 46620 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 46620?

46620 is a Harshad number: divisible by its digit sum 18.