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The number 67031

67031 is a composite number with 4 divisors. Its prime factorisation is 17 × 3943. Divisors (4): 1, 17, 3943, 67031.

Number

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How to work it out

  1. 1

    What is special about 67031: a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 3943, the product of two primes.

  2. 2

    67031 is composite. Its prime factorisation is

    67031=17×394367031 = 17 \times 3943
  3. 3

    The divisors add up to 70992; without 67031 itself that is 3961, so 67031 is deficient (3961 is less than 67031). Euler's totient φ(67031) = 63072 numbers up to 67031 share no factor with it.

  4. 4

    The digits of 67031 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67031 = 17 \times 3943 \]

67031 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors70992
Euler totient φ(n)63072
Square4493154961
Cube301180670190791
Square root258.903457
Digit sum / digital root17 / 8
Collatz steps to 1112
Scientific notation6.7031 × 10410^{4}

67031 in other forms

FormValue
In wordssixty-seven thousand and thirty-one
Binary (base 2)10000010111010111
Octal (base 8)202727
Hexadecimal (base 16)105D7
Base 310101221122
As time67031 seconds = 18 h 37 min 11 s

Is 67031 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 2)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8No (remainder 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67031 a prime number?

No. 67031 = 17 × 3943, so it is divisible by 17.

What are the factors of 67031?

1, 17, 3943, 67031.

What is 67031 in binary?

10000010111010111 (hexadecimal 105D7, octal 202727).

What is the square root of 67031?

About 258.9035.

Is 67031 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 67031?

67031 is a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 3943, the product of two primes.

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