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The number 67267

67267 is a composite number with 4 divisors. Its prime factorisation is 137 × 491. Divisors (4): 1, 137, 491, 67267.

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How to work it out

  1. 1

    What is special about 67267: a semiprime: 137 × 491, the product of two primes.

  2. 2

    67267 is composite. Its prime factorisation is

    67267=137×49167267 = 137 \times 491
  3. 3

    The divisors add up to 67896; without 67267 itself that is 629, so 67267 is deficient (629 is less than 67267). Euler's totient φ(67267) = 66640 numbers up to 67267 share no factor with it.

  4. 4

    The digits of 67267 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67267 = 137 \times 491 \]

67267 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors67896
Euler totient φ(n)66640
Square4524849289
Cube304373037123163
Square root259.358825
Digit sum / digital root28 / 1
Collatz steps to 1112
Scientific notation6.7267 × 10410^{4}

67267 in other forms

FormValue
In wordssixty-seven thousand two hundred and sixty-seven
Binary (base 2)10000011011000011
Octal (base 8)203303
Hexadecimal (base 16)106C3
Base 310102021101
As time67267 seconds = 18 h 41 min 7 s

Is 67267 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8No (remainder 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67267 a prime number?

No. 67267 = 137 × 491, so it is divisible by 137.

What are the factors of 67267?

1, 137, 491, 67267.

What is 67267 in binary?

10000011011000011 (hexadecimal 106C3, octal 203303).

What is the square root of 67267?

About 259.3588.

Is 67267 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 67267?

67267 is a semiprime: 137 × 491, the product of two primes.

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