The number 69420

Q: Is 69420 a prime number?

No. 69420 = 2^2 × 3 × 5 × 13 × 89, so it is divisible by 2.

69420 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 13 × 89. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60 … 69420.

Number

Pick any whole number from 1 to 100,000.

69420 = 2^{2} \times 3 \times 5 \times 13 \times 89

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How to work it out

1
69420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
69420 is composite. Its prime factorisation is
$69420 = 2^{2} \times 3 \times 5 \times 13 \times 89$
3
The divisors add up to 211680; without 69420 itself that is 142260, so 69420 is abundant (142260 is more than 69420). Euler's totient φ(69420) = 16896 numbers up to 69420 share no factor with it.
4
The digits of 69420 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 143 steps to reach 1.

LaTeX source of the formulas on this page

\[ 69420 = 2^{2} \times 3 \times 5 \times 13 \times 89 \]

69420 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	211680
Euler totient φ(n)	16896
Square	4819136400
Cube	334544448888000
Square root	263.476754 (= 2√17355)
Digit sum / digital root	21 / 3
Collatz steps to 1	143
Scientific notation	6.942 × $10^{4}$

69420 in other forms

Form	Value
In words	sixty-nine thousand four hundred and twenty
Binary (base 2)	10000111100101100
Octal (base 8)	207454
Hexadecimal (base 16)	10F2C
Base 3	10112020010
As time	69420 seconds = 19 h 17 min 0 s

Is 69420 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (69420 ÷ 2 = 34710)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (69420 ÷ 3 = 23140)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (69420 ÷ 4 = 17355)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (69420 ÷ 5 = 13884)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (69420 ÷ 6 = 11570)	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 (69420 ÷ 10 = 6942)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (69420 ÷ 12 = 5785)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 69420 a prime number?

No. 69420 = $2^{2}$ × 3 × 5 × 13 × 89, so it is divisible by 2.

What are the factors of 69420?

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 89, 130, 156, 178, 195, 260, 267, 356, 390, 445, 534, 780, 890, 1068, 1157, 1335, 1780, 2314, 2670, 3471, 4628, 5340, 5785, 6942, 11570, 13884, 17355, 23140, 34710, 69420.

What is 69420 in binary?

10000111100101100 (hexadecimal 10F2C, octal 207454).

What is the square root of 69420?

About 263.4768, exactly 2√17355.

Is 69420 divisible by 3?

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

What is special about the number 69420?

It is a composite number with 48 divisors.