The number 67900

Q: Is 67900 a prime number?

No. 67900 = 2^2 × 5^2 × 7 × 97, so it is divisible by 2.

67900 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $5^{2}$ × 7 × 97. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 97, 100, 140 … 67900.

Number

Pick any whole number from 1 to 100,000.

67900 = 2^{2} \times 5^{2} \times 7 \times 97

Explain it step by step in chat Make a short video of it

How to work it out

1
67900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
67900 is composite. Its prime factorisation is
$67900 = 2^{2} \times 5^{2} \times 7 \times 97$
3
The divisors add up to 170128; without 67900 itself that is 102228, so 67900 is abundant (102228 is more than 67900). Euler's totient φ(67900) = 23040 numbers up to 67900 share no factor with it.
4
The digits of 67900 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.

LaTeX source of the formulas on this page

\[ 67900 = 2^{2} \times 5^{2} \times 7 \times 97 \]

67900 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	170128
Euler totient φ(n)	23040
Square	4610410000
Cube	313046839000000
Square root	260.576284 (= 10√679)
Digit sum / digital root	22 / 4
Collatz steps to 1	143
Scientific notation	6.79 × $10^{4}$

67900 in other forms

Form	Value
In words	sixty-seven thousand nine hundred
Binary (base 2)	10000100100111100
Octal (base 8)	204474
Hexadecimal (base 16)	1093C
Base 3	10110010211
As time	67900 seconds = 18 h 51 min 40 s

Is 67900 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (67900 ÷ 2 = 33950)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (67900 ÷ 4 = 16975)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (67900 ÷ 5 = 13580)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (67900 ÷ 7 = 9700)	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 4)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (67900 ÷ 10 = 6790)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 8)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67900 a prime number?

No. 67900 = $2^{2}$ × $5^{2}$ × 7 × 97, so it is divisible by 2.

What are the factors of 67900?

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 97, 100, 140, 175, 194, 350, 388, 485, 679, 700, 970, 1358, 1940, 2425, 2716, 3395, 4850, 6790, 9700, 13580, 16975, 33950, 67900.

What is 67900 in binary?

10000100100111100 (hexadecimal 1093C, octal 204474).

What is the square root of 67900?

About 260.5763, exactly 10√679.

Is 67900 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 67900?

It is a composite number with 36 divisors.