The number 97650

Q: Is 97650 a prime number?

No. 97650 = 2 × 3^2 × 5^2 × 7 × 31, so it is divisible by 2.

97650 is a composite number with 72 divisors. Its prime factorisation is 2 × $3^{2}$ × $5^{2}$ × 7 × 31. Divisors (72): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 31, 35 … 97650.

Number

Pick any whole number from 1 to 100,000.

97650 = 2 \times 3^{2} \times 5^{2} \times 7 \times 31

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How to work it out

1
97650 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
97650 is composite. Its prime factorisation is
$97650 = 2 \times 3^{2} \times 5^{2} \times 7 \times 31$
3
The divisors add up to 309504; without 97650 itself that is 211854, so 97650 is abundant (211854 is more than 97650). Euler's totient φ(97650) = 21600 numbers up to 97650 share no factor with it.
4
The digits of 97650 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.

LaTeX source of the formulas on this page

\[ 97650 = 2 \times 3^{2} \times 5^{2} \times 7 \times 31 \]

97650 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	309504
Euler totient φ(n)	21600
Square	9535522500
Cube	931143772125000
Square root	312.490000 (= 15√434)
Digit sum / digital root	27 / 9
Collatz steps to 1	71
Scientific notation	9.765 × $10^{4}$

97650 in other forms

Form	Value
In words	ninety-seven thousand six hundred and fifty
Binary (base 2)	10111110101110010
Octal (base 8)	276562
Hexadecimal (base 16)	17D72
Base 3	11221221200
As time	97650 seconds = 27 h 7 min 30 s

Is 97650 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (97650 ÷ 2 = 48825)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (97650 ÷ 3 = 32550)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 2)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (97650 ÷ 5 = 19530)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (97650 ÷ 6 = 16275)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (97650 ÷ 7 = 13950)	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 2)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (97650 ÷ 9 = 10850)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (97650 ÷ 10 = 9765)	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	No (remainder 6)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 97650 a prime number?

No. 97650 = 2 × $3^{2}$ × $5^{2}$ × 7 × 31, so it is divisible by 2.

What are the factors of 97650?

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 31, 35, 42, 45, 50, 62, 63, 70, 75, 90, 93, 105, 126, 150, 155, 175, 186, 210, 217, 225, 279, 310, 315, 350, 434, 450, 465, 525, 558, 630, 651, 775, 930, 1050, 1085, 1302, 1395, 1550, 1575, 1953, 2170, 2325, 2790, 3150, 3255, 3906, 4650, 5425, 6510, 6975, 9765, 10850, 13950, 16275, 19530, 32550, 48825, 97650.

What is 97650 in binary?

10111110101110010 (hexadecimal 17D72, octal 276562).

What is the square root of 97650?

About 312.4900, exactly 15√434.

Is 97650 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 97650?

It is a composite number with 72 divisors.