The number 74460

Q: Is 74460 a prime number?

No. 74460 = 2^2 × 3 × 5 × 17 × 73, so it is divisible by 2.

74460 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 17 × 73. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68 … 74460.

Number

Pick any whole number from 1 to 100,000.

74460 = 2^{2} \times 3 \times 5 \times 17 \times 73

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How to work it out

1
74460 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
74460 is composite. Its prime factorisation is
$74460 = 2^{2} \times 3 \times 5 \times 17 \times 73$
3
The divisors add up to 223776; without 74460 itself that is 149316, so 74460 is abundant (149316 is more than 74460). Euler's totient φ(74460) = 18432 numbers up to 74460 share no factor with it.
4
The digits of 74460 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page

\[ 74460 = 2^{2} \times 3 \times 5 \times 17 \times 73 \]

74460 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	223776
Euler totient φ(n)	18432
Square	5544291600
Cube	412827952536000
Square root	272.873597 (= 2√18615)
Digit sum / digital root	21 / 3
Collatz steps to 1	94
Scientific notation	7.446 × $10^{4}$

74460 in other forms

Form	Value
In words	seventy-four thousand four hundred and sixty
Binary (base 2)	10010001011011100
Octal (base 8)	221334
Hexadecimal (base 16)	122DC
Base 3	10210010210
As time	74460 seconds = 20 h 41 min 0 s

Is 74460 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (74460 ÷ 2 = 37230)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (74460 ÷ 3 = 24820)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (74460 ÷ 4 = 18615)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (74460 ÷ 5 = 14892)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (74460 ÷ 6 = 12410)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	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 (74460 ÷ 10 = 7446)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 1)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (74460 ÷ 12 = 6205)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74460 a prime number?

No. 74460 = $2^{2}$ × 3 × 5 × 17 × 73, so it is divisible by 2.

What are the factors of 74460?

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 73, 85, 102, 146, 170, 204, 219, 255, 292, 340, 365, 438, 510, 730, 876, 1020, 1095, 1241, 1460, 2190, 2482, 3723, 4380, 4964, 6205, 7446, 12410, 14892, 18615, 24820, 37230, 74460.

What is 74460 in binary?

10010001011011100 (hexadecimal 122DC, octal 221334).

What is the square root of 74460?

About 272.8736, exactly 2√18615.

Is 74460 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 74460?

It is a composite number with 48 divisors.