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The number 97489

97489 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 733. Divisors (8): 1, 7, 19, 133, 733, 5131, 13927, 97489.

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How to work it out

  1. 1

    What is special about 97489: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    97489 is composite. Its prime factorisation is

    97489=7×19×73397489 = 7 \times 19 \times 733
  3. 3

    The divisors add up to 117440; without 97489 itself that is 19951, so 97489 is deficient (19951 is less than 97489). Euler's totient φ(97489) = 79056 numbers up to 97489 share no factor with it.

  4. 4

    The digits of 97489 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97489 = 7 \times 19 \times 733 \]

97489 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors117440
Euler totient φ(n)79056
Square9504105121
Cube926545704141169
Square root312.232285
Digit sum / digital root37 / 1
Collatz steps to 1177
Scientific notation9.7489 × 10410^{4}

97489 in other forms

FormValue
In wordsninety-seven thousand four hundred and eighty-nine
Binary (base 2)10111110011010001
Octal (base 8)276321
Hexadecimal (base 16)17CD1
Base 311221201201
As time97489 seconds = 27 h 4 min 49 s

Is 97489 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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.
7Yes (97489 ÷ 7 = 13927)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 1)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 9)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 97489 a prime number?

No. 97489 = 7 × 19 × 733, so it is divisible by 7.

What are the factors of 97489?

1, 7, 19, 133, 733, 5131, 13927, 97489.

What is 97489 in binary?

10111110011010001 (hexadecimal 17CD1, octal 276321).

What is the square root of 97489?

About 312.2323.

Is 97489 divisible by 3?

No. Its digits add up to 37, which is not a multiple of 3.

What is special about the number 97489?

97489 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    97489: is it prime? Factors, square root, binary, Roman numeral | WordGPT