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The number 98029

98029 is a composite number with 4 divisors. Its prime factorisation is 167 × 587. Divisors (4): 1, 167, 587, 98029.

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How to work it out

  1. 1

    What is special about 98029: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 167 × 587, the product of two primes.

  2. 2

    98029 is composite. Its prime factorisation is

    98029=167×58798029 = 167 \times 587
  3. 3

    The divisors add up to 98784; without 98029 itself that is 755, so 98029 is deficient (755 is less than 98029). Euler's totient φ(98029) = 97276 numbers up to 98029 share no factor with it.

  4. 4

    The digits of 98029 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 66 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98029 = 167 \times 587 \]

98029 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors98784
Euler totient φ(n)97276
Square9609684841
Cube942027795278389
Square root313.095832
Digit sum / digital root28 / 1
Collatz steps to 166
Scientific notation9.8029 × 10410^{4}

98029 in other forms

FormValue
In wordsninety-eight thousand and twenty-nine
Binary (base 2)10111111011101101
Octal (base 8)277355
Hexadecimal (base 16)17EED
Base 311222110201
As time98029 seconds = 27 h 13 min 49 s

Is 98029 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.
7No (remainder 1)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 5)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 8)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 98029 a prime number?

No. 98029 = 167 × 587, so it is divisible by 167.

What are the factors of 98029?

1, 167, 587, 98029.

What is 98029 in binary?

10111111011101101 (hexadecimal 17EED, octal 277355).

What is the square root of 98029?

About 313.0958.

Is 98029 divisible by 3?

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

What is special about the number 98029?

98029 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 167 × 587, the product of two primes.

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