The number 74700

Q: Is 74700 a prime number?

No. 74700 = 2^2 × 3^2 × 5^2 × 83, so it is divisible by 2.

74700 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × $5^{2}$ × 83. Divisors (54): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45 … 74700.

Number

Pick any whole number from 1 to 100,000.

74700 = 2^{2} \times 3^{2} \times 5^{2} \times 83

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How to work it out

1
What is special about 74700: a Harshad number: divisible by its digit sum 18.
2
74700 is composite. Its prime factorisation is
$74700 = 2^{2} \times 3^{2} \times 5^{2} \times 83$
3
The divisors add up to 236964; without 74700 itself that is 162264, so 74700 is abundant (162264 is more than 74700). Euler's totient φ(74700) = 19680 numbers up to 74700 share no factor with it.
4
The digits of 74700 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 156 steps to reach 1.

LaTeX source of the formulas on this page

\[ 74700 = 2^{2} \times 3^{2} \times 5^{2} \times 83 \]

74700 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	236964
Euler totient φ(n)	19680
Square	5580090000
Cube	416832723000000
Square root	273.313007 (= 30√83)
Digit sum / digital root	18 / 9
Collatz steps to 1	156
Scientific notation	7.47 × $10^{4}$

74700 in other forms

Form	Value
In words	seventy-four thousand seven hundred
Binary (base 2)	10010001111001100
Octal (base 8)	221714
Hexadecimal (base 16)	123CC
Base 3	10210110200
As time	74700 seconds = 20 h 45 min 0 s

Is 74700 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (74700 ÷ 2 = 37350)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (74700 ÷ 3 = 24900)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (74700 ÷ 4 = 18675)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (74700 ÷ 5 = 14940)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (74700 ÷ 6 = 12450)	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 (74700 ÷ 9 = 8300)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (74700 ÷ 10 = 7470)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (74700 ÷ 12 = 6225)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74700 a prime number?

No. 74700 = $2^{2}$ × $3^{2}$ × $5^{2}$ × 83, so it is divisible by 2.

What are the factors of 74700?

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 83, 90, 100, 150, 166, 180, 225, 249, 300, 332, 415, 450, 498, 747, 830, 900, 996, 1245, 1494, 1660, 2075, 2490, 2988, 3735, 4150, 4980, 6225, 7470, 8300, 12450, 14940, 18675, 24900, 37350, 74700.

What is 74700 in binary?

10010001111001100 (hexadecimal 123CC, octal 221714).

What is the square root of 74700?

About 273.3130, exactly 30√83.

Is 74700 divisible by 3?

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

What is special about the number 74700?

74700 is a Harshad number: divisible by its digit sum 18.