The number 74100

Q: Is 74100 a prime number?

No. 74100 = 2^2 × 3 × 5^2 × 13 × 19, so it is divisible by 2.

74100 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × 3 × $5^{2}$ × 13 × 19. Divisors (72): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 19, 20, 25, 26, 30, 38 … 74100.

Number

Pick any whole number from 1 to 100,000.

74100 = 2^{2} \times 3 \times 5^{2} \times 13 \times 19

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How to work it out

1
What is special about 74100: a Harshad number: divisible by its digit sum 12.
2
74100 is composite. Its prime factorisation is
$74100 = 2^{2} \times 3 \times 5^{2} \times 13 \times 19$
3
The divisors add up to 243040; without 74100 itself that is 168940, so 74100 is abundant (168940 is more than 74100). Euler's totient φ(74100) = 17280 numbers up to 74100 share no factor with it.
4
The digits of 74100 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page

\[ 74100 = 2^{2} \times 3 \times 5^{2} \times 13 \times 19 \]

74100 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	243040
Euler totient φ(n)	17280
Square	5490810000
Cube	406869021000000
Square root	272.213152 (= 10√741)
Digit sum / digital root	12 / 3
Collatz steps to 1	112
Scientific notation	7.41 × $10^{4}$

74100 in other forms

Form	Value
In words	seventy-four thousand one hundred
Binary (base 2)	10010000101110100
Octal (base 8)	220564
Hexadecimal (base 16)	12174
Base 3	10202122110
As time	74100 seconds = 20 h 35 min 0 s

Is 74100 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (74100 ÷ 2 = 37050)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (74100 ÷ 3 = 24700)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (74100 ÷ 4 = 18525)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (74100 ÷ 5 = 14820)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (74100 ÷ 6 = 12350)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 5)	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	Yes (74100 ÷ 10 = 7410)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (74100 ÷ 12 = 6175)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74100 a prime number?

No. 74100 = $2^{2}$ × 3 × $5^{2}$ × 13 × 19, so it is divisible by 2.

What are the factors of 74100?

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 19, 20, 25, 26, 30, 38, 39, 50, 52, 57, 60, 65, 75, 76, 78, 95, 100, 114, 130, 150, 156, 190, 195, 228, 247, 260, 285, 300, 325, 380, 390, 475, 494, 570, 650, 741, 780, 950, 975, 988, 1140, 1235, 1300, 1425, 1482, 1900, 1950, 2470, 2850, 2964, 3705, 3900, 4940, 5700, 6175, 7410, 12350, 14820, 18525, 24700, 37050, 74100.

What is 74100 in binary?

10010000101110100 (hexadecimal 12174, octal 220564).

What is the square root of 74100?

About 272.2132, exactly 10√741.

Is 74100 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 74100?

74100 is a Harshad number: divisible by its digit sum 12.