The number 25080

Q: Is 25080 a prime number?

No. 25080 = 2^3 × 3 × 5 × 11 × 19, so it is divisible by 2.

25080 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 11 × 19. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 19, 20, 22, 24, 30 … 25080.

Number

Pick any whole number from 1 to 100,000.

25080 = 2^{3} \times 3 \times 5 \times 11 \times 19

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How to work it out

1
What is special about 25080: a Harshad number: divisible by its digit sum 15.
2
25080 is composite. Its prime factorisation is
$25080 = 2^{3} \times 3 \times 5 \times 11 \times 19$
3
The divisors add up to 86400; without 25080 itself that is 61320, so 25080 is abundant (61320 is more than 25080). Euler's totient φ(25080) = 5760 numbers up to 25080 share no factor with it.
4
The digits of 25080 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.

LaTeX source of the formulas on this page

\[ 25080 = 2^{3} \times 3 \times 5 \times 11 \times 19 \]

25080 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	86400
Euler totient φ(n)	5760
Square	629006400
Cube	15775480512000
Square root	158.366663 (= 2√6270)
Digit sum / digital root	15 / 6
Collatz steps to 1	64
Scientific notation	2.508 × $10^{4}$

25080 in other forms

Form	Value
In words	twenty-five thousand and eighty
Binary (base 2)	110000111111000
Octal (base 8)	60770
Hexadecimal (base 16)	61F8
Base 3	1021101220
As time	25080 seconds = 6 h 58 min 0 s

Is 25080 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (25080 ÷ 2 = 12540)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (25080 ÷ 3 = 8360)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (25080 ÷ 4 = 6270)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (25080 ÷ 5 = 5016)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (25080 ÷ 6 = 4180)	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 (25080 ÷ 8 = 3135)	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 (25080 ÷ 10 = 2508)	A number is divisible by 10 if the last digit is 0.
11	Yes (25080 ÷ 11 = 2280)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (25080 ÷ 12 = 2090)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 25080 a prime number?

No. 25080 = $2^{3}$ × 3 × 5 × 11 × 19, so it is divisible by 2.

What are the factors of 25080?

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 19, 20, 22, 24, 30, 33, 38, 40, 44, 55, 57, 60, 66, 76, 88, 95, 110, 114, 120, 132, 152, 165, 190, 209, 220, 228, 264, 285, 330, 380, 418, 440, 456, 570, 627, 660, 760, 836, 1045, 1140, 1254, 1320, 1672, 2090, 2280, 2508, 3135, 4180, 5016, 6270, 8360, 12540, 25080.

What is 25080 in binary?

110000111111000 (hexadecimal 61F8, octal 60770).

What is the square root of 25080?

About 158.3667, exactly 2√6270.

Is 25080 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 25080?

25080 is a Harshad number: divisible by its digit sum 15.