The number 74970

Q: Is 74970 a prime number?

No. 74970 = 2 × 3^2 × 5 × 7^2 × 17, so it is divisible by 2.

74970 is a composite number with 72 divisors. Its prime factorisation is 2 × $3^{2}$ × 5 × $7^{2}$ × 17. Divisors (72): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 17, 18, 21, 30, 34, 35 … 74970.

Number

Pick any whole number from 1 to 100,000.

74970 = 2 \times 3^{2} \times 5 \times 7^{2} \times 17

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How to work it out

1
74970 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
74970 is composite. Its prime factorisation is
$74970 = 2 \times 3^{2} \times 5 \times 7^{2} \times 17$
3
The divisors add up to 240084; without 74970 itself that is 165114, so 74970 is abundant (165114 is more than 74970). Euler's totient φ(74970) = 16128 numbers up to 74970 share no factor with it.
4
The digits of 74970 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 187 steps to reach 1.

LaTeX source of the formulas on this page

\[ 74970 = 2 \times 3^{2} \times 5 \times 7^{2} \times 17 \]

74970 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	240084
Euler totient φ(n)	16128
Square	5620500900
Cube	421368952473000
Square root	273.806501 (= 21√170)
Digit sum / digital root	27 / 9
Collatz steps to 1	187
Scientific notation	7.497 × $10^{4}$

74970 in other forms

Form	Value
In words	seventy-four thousand nine hundred and seventy
Binary (base 2)	10010010011011010
Octal (base 8)	222332
Hexadecimal (base 16)	124DA
Base 3	10210211200
As time	74970 seconds = 20 h 49 min 30 s

Is 74970 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (74970 ÷ 2 = 37485)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (74970 ÷ 3 = 24990)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 2)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (74970 ÷ 5 = 14994)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (74970 ÷ 6 = 12495)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (74970 ÷ 7 = 10710)	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 2)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (74970 ÷ 9 = 8330)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (74970 ÷ 10 = 7497)	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	No (remainder 6)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74970 a prime number?

No. 74970 = 2 × $3^{2}$ × 5 × $7^{2}$ × 17, so it is divisible by 2.

What are the factors of 74970?

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 17, 18, 21, 30, 34, 35, 42, 45, 49, 51, 63, 70, 85, 90, 98, 102, 105, 119, 126, 147, 153, 170, 210, 238, 245, 255, 294, 306, 315, 357, 441, 490, 510, 595, 630, 714, 735, 765, 833, 882, 1071, 1190, 1470, 1530, 1666, 1785, 2142, 2205, 2499, 3570, 4165, 4410, 4998, 5355, 7497, 8330, 10710, 12495, 14994, 24990, 37485, 74970.

What is 74970 in binary?

10010010011011010 (hexadecimal 124DA, octal 222332).

What is the square root of 74970?

About 273.8065, exactly 21√170.

Is 74970 divisible by 3?

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

What is special about the number 74970?

It is a composite number with 72 divisors.