The number 29640

Q: Is 29640 a prime number?

No. 29640 = 2^3 × 3 × 5 × 13 × 19, so it is divisible by 2.

29640 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 13 × 19. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 19, 20, 24, 26, 30 … 29640.

Number

Pick any whole number from 1 to 100,000.

29640 = 2^{3} \times 3 \times 5 \times 13 \times 19

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How to work it out

1
29640 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
29640 is composite. Its prime factorisation is
$29640 = 2^{3} \times 3 \times 5 \times 13 \times 19$
3
The divisors add up to 100800; without 29640 itself that is 71160, so 29640 is abundant (71160 is more than 29640). Euler's totient φ(29640) = 6912 numbers up to 29640 share no factor with it.
4
The digits of 29640 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 165 steps to reach 1.

LaTeX source of the formulas on this page

\[ 29640 = 2^{3} \times 3 \times 5 \times 13 \times 19 \]

29640 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	100800
Euler totient φ(n)	6912
Square	878529600
Cube	26039617344000
Square root	172.162714 (= 2√7410)
Digit sum / digital root	21 / 3
Collatz steps to 1	165
Scientific notation	2.964 × $10^{4}$

29640 in other forms

Form	Value
In words	twenty-nine thousand six hundred and forty
Binary (base 2)	111001111001000
Octal (base 8)	71710
Hexadecimal (base 16)	73C8
Base 3	1111122210
As time	29640 seconds = 8 h 14 min 0 s

Is 29640 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (29640 ÷ 2 = 14820)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (29640 ÷ 3 = 9880)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (29640 ÷ 4 = 7410)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (29640 ÷ 5 = 5928)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (29640 ÷ 6 = 4940)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	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	Yes (29640 ÷ 8 = 3705)	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 (29640 ÷ 10 = 2964)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 6)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (29640 ÷ 12 = 2470)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 29640 a prime number?

No. 29640 = $2^{3}$ × 3 × 5 × 13 × 19, so it is divisible by 2.

What are the factors of 29640?

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 19, 20, 24, 26, 30, 38, 39, 40, 52, 57, 60, 65, 76, 78, 95, 104, 114, 120, 130, 152, 156, 190, 195, 228, 247, 260, 285, 312, 380, 390, 456, 494, 520, 570, 741, 760, 780, 988, 1140, 1235, 1482, 1560, 1976, 2280, 2470, 2964, 3705, 4940, 5928, 7410, 9880, 14820, 29640.

What is 29640 in binary?

111001111001000 (hexadecimal 73C8, octal 71710).

What is the square root of 29640?

About 172.1627, exactly 2√7410.

Is 29640 divisible by 3?

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

What is special about the number 29640?

It is a composite number with 64 divisors.