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The number 97467

97467 is a composite number with 8 divisors. Its prime factorisation is 3 × 53 × 613. Divisors (8): 1, 3, 53, 159, 613, 1839, 32489, 97467.

Number

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How to work it out

  1. 1

    97467 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    97467 is composite. Its prime factorisation is

    97467=3×53×61397467 = 3 \times 53 \times 613
  3. 3

    The divisors add up to 132624; without 97467 itself that is 35157, so 97467 is deficient (35157 is less than 97467). Euler's totient φ(97467) = 63648 numbers up to 97467 share no factor with it.

  4. 4

    The digits of 97467 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97467 = 3 \times 53 \times 613 \]

97467 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors132624
Euler totient φ(n)63648
Square9499816089
Cube925918574746563
Square root312.197053
Digit sum / digital root33 / 6
Collatz steps to 1151
Scientific notation9.7467 × 10410^{4}

97467 in other forms

FormValue
In wordsninety-seven thousand four hundred and sixty-seven
Binary (base 2)10111110010111011
Octal (base 8)276273
Hexadecimal (base 16)17CBB
Base 311221200220
As time97467 seconds = 27 h 4 min 27 s

Is 97467 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).
3Yes (97467 ÷ 3 = 32489)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 3)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 97467 a prime number?

No. 97467 = 3 × 53 × 613, so it is divisible by 3.

What are the factors of 97467?

1, 3, 53, 159, 613, 1839, 32489, 97467.

What is 97467 in binary?

10111110010111011 (hexadecimal 17CBB, octal 276273).

What is the square root of 97467?

About 312.1971.

Is 97467 divisible by 3?

Yes. Its digits add up to 33, a multiple of 3.

What is special about the number 97467?

It is a composite number with 8 divisors.

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    97467: is it prime? Factors, square root, binary, Roman numeral | WordGPT