The number 59340

Q: Is 59340 a prime number?

No. 59340 = 2^2 × 3 × 5 × 23 × 43, so it is divisible by 2.

59340 is a triangular number: 1 + 2 + … + 344 = 59340. Its prime factorisation is $2^{2}$ × 3 × 5 × 23 × 43. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 43, 46, 60, 69 … 59340.

Number

Pick any whole number from 1 to 100,000.

59340 = 2^{2} \times 3 \times 5 \times 23 \times 43

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How to work it out

1
What is special about 59340: a triangular number: 1 + 2 + … + 344 = 59340.
2
59340 is composite. Its prime factorisation is
$59340 = 2^{2} \times 3 \times 5 \times 23 \times 43$
3
The divisors add up to 177408; without 59340 itself that is 118068, so 59340 is abundant (118068 is more than 59340). Euler's totient φ(59340) = 14784 numbers up to 59340 share no factor with it.
4
The digits of 59340 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 122 steps to reach 1.

LaTeX source of the formulas on this page

\[ 59340 = 2^{2} \times 3 \times 5 \times 23 \times 43 \]

59340 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	177408
Euler totient φ(n)	14784
Square	3521235600
Cube	208950120504000
Square root	243.598030 (= 2√14835)
Digit sum / digital root	21 / 3
Collatz steps to 1	122
Scientific notation	5.934 × $10^{4}$

59340 in other forms

Form	Value
In words	fifty-nine thousand three hundred and forty
Binary (base 2)	1110011111001100
Octal (base 8)	163714
Hexadecimal (base 16)	E7CC
Base 3	10000101210
As time	59340 seconds = 16 h 29 min 0 s

Is 59340 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (59340 ÷ 2 = 29670)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (59340 ÷ 3 = 19780)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (59340 ÷ 4 = 14835)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (59340 ÷ 5 = 11868)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (59340 ÷ 6 = 9890)	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 (59340 ÷ 10 = 5934)	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 (59340 ÷ 12 = 4945)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 59340 a prime number?

No. 59340 = $2^{2}$ × 3 × 5 × 23 × 43, so it is divisible by 2.

What are the factors of 59340?

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 43, 46, 60, 69, 86, 92, 115, 129, 138, 172, 215, 230, 258, 276, 345, 430, 460, 516, 645, 690, 860, 989, 1290, 1380, 1978, 2580, 2967, 3956, 4945, 5934, 9890, 11868, 14835, 19780, 29670, 59340.

What is 59340 in binary?

1110011111001100 (hexadecimal E7CC, octal 163714).

What is the square root of 59340?

About 243.5980, exactly 2√14835.

Is 59340 divisible by 3?

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

What is special about the number 59340?

59340 is a triangular number: 1 + 2 + … + 344 = 59340.