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The number 30967

30967 is a composite number with 4 divisors. Its prime factorisation is 173 × 179. Divisors (4): 1, 173, 179, 30967.

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How to work it out

  1. 1

    What is special about 30967: a semiprime: 173 × 179, the product of two primes.

  2. 2

    30967 is composite. Its prime factorisation is

    30967=173×17930967 = 173 \times 179
  3. 3

    The divisors add up to 31320; without 30967 itself that is 353, so 30967 is deficient (353 is less than 30967). Euler's totient φ(30967) = 30616 numbers up to 30967 share no factor with it.

  4. 4

    The digits of 30967 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 30967 = 173 \times 179 \]

30967 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors31320
Euler totient φ(n)30616
Square958955089
Cube29695962241063
Square root175.974430
Digit sum / digital root25 / 7
Collatz steps to 1147
Scientific notation3.0967 × 10410^{4}

30967 in other forms

FormValue
In wordsthirty thousand nine hundred and sixty-seven
Binary (base 2)111100011110111
Octal (base 8)74367
Hexadecimal (base 16)78F7
Base 31120110221
As time30967 seconds = 8 h 36 min 7 s

Is 30967 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 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 7)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 30967 a prime number?

No. 30967 = 173 × 179, so it is divisible by 173.

What are the factors of 30967?

1, 173, 179, 30967.

What is 30967 in binary?

111100011110111 (hexadecimal 78F7, octal 74367).

What is the square root of 30967?

About 175.9744.

Is 30967 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 30967?

30967 is a semiprime: 173 × 179, the product of two primes.

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