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The number 98121

98121 is a composite number with 4 divisors. Its prime factorisation is 3 × 32707. Divisors (4): 1, 3, 32707, 98121.

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How to work it out

  1. 1

    What is special about 98121: a semiprime: 3 × 32707, the product of two primes.

  2. 2

    98121 is composite. Its prime factorisation is

    98121=3×3270798121 = 3 \times 32707
  3. 3

    The divisors add up to 130832; without 98121 itself that is 32711, so 98121 is deficient (32711 is less than 98121). Euler's totient φ(98121) = 65412 numbers up to 98121 share no factor with it.

  4. 4

    The digits of 98121 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98121 = 3 \times 32707 \]

98121 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors130832
Euler totient φ(n)65412
Square9627730641
Cube944682558225561
Square root313.242717
Digit sum / digital root21 / 3
Collatz steps to 1159
Scientific notation9.8121 × 10410^{4}

98121 in other forms

FormValue
In wordsninety-eight thousand one hundred and twenty-one
Binary (base 2)10111111101001001
Octal (base 8)277511
Hexadecimal (base 16)17F49
Base 311222121010
As time98121 seconds = 27 h 15 min 21 s

Is 98121 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 (98121 ÷ 3 = 32707)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 3)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 3)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98121 a prime number?

No. 98121 = 3 × 32707, so it is divisible by 3.

What are the factors of 98121?

1, 3, 32707, 98121.

What is 98121 in binary?

10111111101001001 (hexadecimal 17F49, octal 277511).

What is the square root of 98121?

About 313.2427.

Is 98121 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 98121?

98121 is a semiprime: 3 × 32707, the product of two primes.

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