The number 90948

Q: Is 90948 a prime number?

No. 90948 = 2^2 × 3 × 11 × 13 × 53, so it is divisible by 2.

90948 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 11 × 13 × 53. Divisors (48): 1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 53, 66 … 90948.

Number

Pick any whole number from 1 to 100,000.

90948 = 2^{2} \times 3 \times 11 \times 13 \times 53

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How to work it out

1
90948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
90948 is composite. Its prime factorisation is
$90948 = 2^{2} \times 3 \times 11 \times 13 \times 53$
3
The divisors add up to 254016; without 90948 itself that is 163068, so 90948 is abundant (163068 is more than 90948). Euler's totient φ(90948) = 24960 numbers up to 90948 share no factor with it.
4
The digits of 90948 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.

LaTeX source of the formulas on this page

\[ 90948 = 2^{2} \times 3 \times 11 \times 13 \times 53 \]

90948 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	254016
Euler totient φ(n)	24960
Square	8271538704
Cube	752279902051392
Square root	301.575861 (= 2√22737)
Digit sum / digital root	30 / 3
Collatz steps to 1	133
Scientific notation	9.0948 × $10^{4}$

90948 in other forms

Form	Value
In words	ninety thousand nine hundred and forty-eight
Binary (base 2)	10110001101000100
Octal (base 8)	261504
Hexadecimal (base 16)	16344
Base 3	11121202110
As time	90948 seconds = 25 h 15 min 48 s

Is 90948 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (90948 ÷ 2 = 45474)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (90948 ÷ 3 = 30316)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (90948 ÷ 4 = 22737)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (90948 ÷ 6 = 15158)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 4)	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	No (remainder 8)	A number is divisible by 10 if the last digit is 0.
11	Yes (90948 ÷ 11 = 8268)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (90948 ÷ 12 = 7579)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 90948 a prime number?

No. 90948 = $2^{2}$ × 3 × 11 × 13 × 53, so it is divisible by 2.

What are the factors of 90948?

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 53, 66, 78, 106, 132, 143, 156, 159, 212, 286, 318, 429, 572, 583, 636, 689, 858, 1166, 1378, 1716, 1749, 2067, 2332, 2756, 3498, 4134, 6996, 7579, 8268, 15158, 22737, 30316, 45474, 90948.

What is 90948 in binary?

10110001101000100 (hexadecimal 16344, octal 261504).

What is the square root of 90948?

About 301.5759, exactly 2√22737.

Is 90948 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 90948?

It is a composite number with 48 divisors.