The number 74529

Q: Is 74529 a prime number?

No. 74529 = 3^2 × 7^2 × 13^2, so it is divisible by 3.

74529 is a perfect square (273²). Its prime factorisation is $3^{2}$ × $7^{2}$ × $13^{2}$ . Divisors (27): 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 169, 273, 441, 507 … 74529.

Number

Pick any whole number from 1 to 100,000.

74529 = 3^{2} \times 7^{2} \times 13^{2}

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How to work it out

1
What is special about 74529: a perfect square (273²).
2
74529 is composite. Its prime factorisation is
$74529 = 3^{2} \times 7^{2} \times 13^{2}$
3
The divisors add up to 135603; without 74529 itself that is 61074, so 74529 is deficient (61074 is less than 74529). Euler's totient φ(74529) = 39312 numbers up to 74529 share no factor with it.
4
The digits of 74529 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page

\[ 74529 = 3^{2} \times 7^{2} \times 13^{2} \]

74529 at a glance

Property	Value
Type	composite
Number of divisors	27
Sum of divisors	135603
Euler totient φ(n)	39312
Square	5554571841
Cube	413976684737889
Square root	273
Digit sum / digital root	27 / 9
Collatz steps to 1	94
Scientific notation	7.4529 × $10^{4}$
Perfect power	$273^{2}$

74529 in other forms

Form	Value
In words	seventy-four thousand five hundred and twenty-nine
Binary (base 2)	10010001100100001
Octal (base 8)	221441
Hexadecimal (base 16)	12321
Base 3	10210020100
As time	74529 seconds = 20 h 42 min 9 s

Is 74529 divisible by 2 to 12?

Divisor	Answer	Rule
2	No (remainder 1)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (74529 ÷ 3 = 24843)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 1)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 3)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (74529 ÷ 7 = 10647)	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 1)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (74529 ÷ 9 = 8281)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 9)	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	No (remainder 9)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74529 a prime number?

No. 74529 = $3^{2}$ × $7^{2}$ × $13^{2}$ , so it is divisible by 3.

What are the factors of 74529?

1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 169, 273, 441, 507, 637, 819, 1183, 1521, 1911, 3549, 5733, 8281, 10647, 24843, 74529.

What is 74529 in binary?

10010001100100001 (hexadecimal 12321, octal 221441).

What is the square root of 74529?

273, because 273 × 273 = 74529.

Is 74529 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 74529?

74529 is a perfect square (273²).