The number 62100

Q: Is 62100 a prime number?

No. 62100 = 2^2 × 3^3 × 5^2 × 23, so it is divisible by 2.

62100 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{3}$ × $5^{2}$ × 23. Divisors (72): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 25, 27, 30 … 62100.

Number

Pick any whole number from 1 to 100,000.

62100 = 2^{2} \times 3^{3} \times 5^{2} \times 23

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How to work it out

1
What is special about 62100: a Harshad number: divisible by its digit sum 9.
2
62100 is composite. Its prime factorisation is
$62100 = 2^{2} \times 3^{3} \times 5^{2} \times 23$
3
The divisors add up to 208320; without 62100 itself that is 146220, so 62100 is abundant (146220 is more than 62100). Euler's totient φ(62100) = 15840 numbers up to 62100 share no factor with it.
4
The digits of 62100 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.

LaTeX source of the formulas on this page

\[ 62100 = 2^{2} \times 3^{3} \times 5^{2} \times 23 \]

62100 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	208320
Euler totient φ(n)	15840
Square	3856410000
Cube	239483061000000
Square root	249.198716 (= 30√69)
Digit sum / digital root	9 / 9
Collatz steps to 1	148
Scientific notation	6.21 × $10^{4}$

62100 in other forms

Form	Value
In words	sixty-two thousand one hundred
Binary (base 2)	1111001010010100
Octal (base 8)	171224
Hexadecimal (base 16)	F294
Base 3	10011012000
As time	62100 seconds = 17 h 15 min 0 s

Is 62100 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (62100 ÷ 2 = 31050)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (62100 ÷ 3 = 20700)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (62100 ÷ 4 = 15525)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (62100 ÷ 5 = 12420)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (62100 ÷ 6 = 10350)	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	Yes (62100 ÷ 9 = 6900)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (62100 ÷ 10 = 6210)	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 (62100 ÷ 12 = 5175)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62100 a prime number?

No. 62100 = $2^{2}$ × $3^{3}$ × $5^{2}$ × 23, so it is divisible by 2.

What are the factors of 62100?

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 25, 27, 30, 36, 45, 46, 50, 54, 60, 69, 75, 90, 92, 100, 108, 115, 135, 138, 150, 180, 207, 225, 230, 270, 276, 300, 345, 414, 450, 460, 540, 575, 621, 675, 690, 828, 900, 1035, 1150, 1242, 1350, 1380, 1725, 2070, 2300, 2484, 2700, 3105, 3450, 4140, 5175, 6210, 6900, 10350, 12420, 15525, 20700, 31050, 62100.

What is 62100 in binary?

1111001010010100 (hexadecimal F294, octal 171224).

What is the square root of 62100?

About 249.1987, exactly 30√69.

Is 62100 divisible by 3?

Yes. Its digits add up to 9, a multiple of 3.

What is special about the number 62100?

62100 is a Harshad number: divisible by its digit sum 9.