The number 58380

Q: Is 58380 a prime number?

No. 58380 = 2^2 × 3 × 5 × 7 × 139, so it is divisible by 2.

58380 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × 139. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 58380.

Number

Pick any whole number from 1 to 100,000.

58380 = 2^{2} \times 3 \times 5 \times 7 \times 139

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How to work it out

1
58380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
58380 is composite. Its prime factorisation is
$58380 = 2^{2} \times 3 \times 5 \times 7 \times 139$
3
The divisors add up to 188160; without 58380 itself that is 129780, so 58380 is abundant (129780 is more than 58380). Euler's totient φ(58380) = 13248 numbers up to 58380 share no factor with it.
4
The digits of 58380 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.

LaTeX source of the formulas on this page

\[ 58380 = 2^{2} \times 3 \times 5 \times 7 \times 139 \]

58380 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	188160
Euler totient φ(n)	13248
Square	3408224400
Cube	198972140472000
Square root	241.619536 (= 2√14595)
Digit sum / digital root	24 / 6
Collatz steps to 1	166
Scientific notation	5.838 × $10^{4}$

58380 in other forms

Form	Value
In words	fifty-eight thousand three hundred and eighty
Binary (base 2)	1110010000001100
Octal (base 8)	162014
Hexadecimal (base 16)	E40C
Base 3	2222002020
As time	58380 seconds = 16 h 13 min 0 s

Is 58380 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (58380 ÷ 2 = 29190)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (58380 ÷ 3 = 19460)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (58380 ÷ 4 = 14595)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (58380 ÷ 5 = 11676)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (58380 ÷ 6 = 9730)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (58380 ÷ 7 = 8340)	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 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (58380 ÷ 10 = 5838)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (58380 ÷ 12 = 4865)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58380 a prime number?

No. 58380 = $2^{2}$ × 3 × 5 × 7 × 139, so it is divisible by 2.

What are the factors of 58380?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 139, 140, 210, 278, 417, 420, 556, 695, 834, 973, 1390, 1668, 1946, 2085, 2780, 2919, 3892, 4170, 4865, 5838, 8340, 9730, 11676, 14595, 19460, 29190, 58380.

What is 58380 in binary?

1110010000001100 (hexadecimal E40C, octal 162014).

What is the square root of 58380?

About 241.6195, exactly 2√14595.

Is 58380 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 58380?

It is a composite number with 48 divisors.