The number 69264

Q: Is 69264 a prime number?

No. 69264 = 2^4 × 3^2 × 13 × 37, so it is divisible by 2.

69264 is a composite number with 60 divisors. Its prime factorisation is $2^{4}$ × $3^{2}$ × 13 × 37. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 37, 39 … 69264.

Number

Pick any whole number from 1 to 100,000.

69264 = 2^{4} \times 3^{2} \times 13 \times 37

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How to work it out

1
69264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
69264 is composite. Its prime factorisation is
$69264 = 2^{4} \times 3^{2} \times 13 \times 37$
3
The divisors add up to 214396; without 69264 itself that is 145132, so 69264 is abundant (145132 is more than 69264). Euler's totient φ(69264) = 20736 numbers up to 69264 share no factor with it.
4
The digits of 69264 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 55 steps to reach 1.

LaTeX source of the formulas on this page

\[ 69264 = 2^{4} \times 3^{2} \times 13 \times 37 \]

69264 at a glance

Property	Value
Type	composite
Number of divisors	60
Sum of divisors	214396
Euler totient φ(n)	20736
Square	4797501696
Cube	332294157471744
Square root	263.180546 (= 12√481)
Digit sum / digital root	27 / 9
Collatz steps to 1	55
Scientific notation	6.9264 × $10^{4}$

69264 in other forms

Form	Value
In words	sixty-nine thousand two hundred and sixty-four
Binary (base 2)	10000111010010000
Octal (base 8)	207220
Hexadecimal (base 16)	10E90
Base 3	10112000100
As time	69264 seconds = 19 h 14 min 24 s

Is 69264 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (69264 ÷ 2 = 34632)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (69264 ÷ 3 = 23088)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (69264 ÷ 4 = 17316)	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	Yes (69264 ÷ 6 = 11544)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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 (69264 ÷ 8 = 8658)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (69264 ÷ 9 = 7696)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 4)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 8)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (69264 ÷ 12 = 5772)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 69264 a prime number?

No. 69264 = $2^{4}$ × $3^{2}$ × 13 × 37, so it is divisible by 2.

What are the factors of 69264?

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 37, 39, 48, 52, 72, 74, 78, 104, 111, 117, 144, 148, 156, 208, 222, 234, 296, 312, 333, 444, 468, 481, 592, 624, 666, 888, 936, 962, 1332, 1443, 1776, 1872, 1924, 2664, 2886, 3848, 4329, 5328, 5772, 7696, 8658, 11544, 17316, 23088, 34632, 69264.

What is 69264 in binary?

10000111010010000 (hexadecimal 10E90, octal 207220).

What is the square root of 69264?

About 263.1805, exactly 12√481.

Is 69264 divisible by 3?

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

What is special about the number 69264?

It is a composite number with 60 divisors.