The number 39060

Q: Is 39060 a prime number?

No. 39060 = 2^2 × 3^2 × 5 × 7 × 31, so it is divisible by 2.

39060 is a triangular number: 1 + 2 + … + 279 = 39060. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × 7 × 31. Divisors (72): 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28 … 39060.

Number

Pick any whole number from 1 to 100,000.

39060 = 2^{2} \times 3^{2} \times 5 \times 7 \times 31

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How to work it out

1
What is special about 39060: a triangular number: 1 + 2 + … + 279 = 39060; a Harshad number: divisible by its digit sum 18.
2
39060 is composite. Its prime factorisation is
$39060 = 2^{2} \times 3^{2} \times 5 \times 7 \times 31$
3
The divisors add up to 139776; without 39060 itself that is 100716, so 39060 is abundant (100716 is more than 39060). Euler's totient φ(39060) = 8640 numbers up to 39060 share no factor with it.
4
The digits of 39060 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page

\[ 39060 = 2^{2} \times 3^{2} \times 5 \times 7 \times 31 \]

39060 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	139776
Euler totient φ(n)	8640
Square	1525683600
Cube	59593201416000
Square root	197.636029 (= 6√1085)
Digit sum / digital root	18 / 9
Collatz steps to 1	75
Scientific notation	3.906 × $10^{4}$

39060 in other forms

Form	Value
In words	thirty-nine thousand and sixty
Binary (base 2)	1001100010010100
Octal (base 8)	114224
Hexadecimal (base 16)	9894
Base 3	1222120200
As time	39060 seconds = 10 h 51 min 0 s

Is 39060 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (39060 ÷ 2 = 19530)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (39060 ÷ 3 = 13020)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (39060 ÷ 4 = 9765)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (39060 ÷ 5 = 7812)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (39060 ÷ 6 = 6510)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (39060 ÷ 7 = 5580)	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	Yes (39060 ÷ 9 = 4340)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (39060 ÷ 10 = 3906)	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 (39060 ÷ 12 = 3255)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 39060 a prime number?

No. 39060 = $2^{2}$ × $3^{2}$ × 5 × 7 × 31, so it is divisible by 2.

What are the factors of 39060?

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 31, 35, 36, 42, 45, 60, 62, 63, 70, 84, 90, 93, 105, 124, 126, 140, 155, 180, 186, 210, 217, 252, 279, 310, 315, 372, 420, 434, 465, 558, 620, 630, 651, 868, 930, 1085, 1116, 1260, 1302, 1395, 1860, 1953, 2170, 2604, 2790, 3255, 3906, 4340, 5580, 6510, 7812, 9765, 13020, 19530, 39060.

What is 39060 in binary?

1001100010010100 (hexadecimal 9894, octal 114224).

What is the square root of 39060?

About 197.6360, exactly 6√1085.

Is 39060 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 39060?

39060 is a triangular number: 1 + 2 + … + 279 = 39060; a Harshad number: divisible by its digit sum 18.