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The number 98401

98401 is a composite number with 4 divisors. Its prime factorisation is 19 × 5179. Divisors (4): 1, 19, 5179, 98401.

Number

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How to work it out

  1. 1

    What is special about 98401: a semiprime: 19 × 5179, the product of two primes.

  2. 2

    98401 is composite. Its prime factorisation is

    98401=19×517998401 = 19 \times 5179
  3. 3

    The divisors add up to 103600; without 98401 itself that is 5199, so 98401 is deficient (5199 is less than 98401). Euler's totient φ(98401) = 93204 numbers up to 98401 share no factor with it.

  4. 4

    The digits of 98401 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98401 = 19 \times 5179 \]

98401 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors103600
Euler totient φ(n)93204
Square9682756801
Cube952792951975201
Square root313.689337
Digit sum / digital root22 / 4
Collatz steps to 1146
Scientific notation9.8401 × 10410^{4}

98401 in other forms

FormValue
In wordsninety-eight thousand four hundred and one
Binary (base 2)11000000001100001
Octal (base 8)300141
Hexadecimal (base 16)18061
Base 311222222111
As time98401 seconds = 27 h 20 min 1 s

Is 98401 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 1)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 2)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 4)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 6)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 98401 a prime number?

No. 98401 = 19 × 5179, so it is divisible by 19.

What are the factors of 98401?

1, 19, 5179, 98401.

What is 98401 in binary?

11000000001100001 (hexadecimal 18061, octal 300141).

What is the square root of 98401?

About 313.6893.

Is 98401 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 98401?

98401 is a semiprime: 19 × 5179, the product of two primes.

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    98401: is it prime? Factors, square root, binary, Roman numeral | WordGPT