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The number 55401

55401 is a composite number with 8 divisors. Its prime factorisation is 3 × 59 × 313. Divisors (8): 1, 3, 59, 177, 313, 939, 18467, 55401.

Number

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How to work it out

  1. 1

    55401 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

    55401 is composite. Its prime factorisation is

    55401=3×59×31355401 = 3 \times 59 \times 313
  3. 3

    The divisors add up to 75360; without 55401 itself that is 19959, so 55401 is deficient (19959 is less than 55401). Euler's totient φ(55401) = 36192 numbers up to 55401 share no factor with it.

  4. 4

    The digits of 55401 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55401 = 3 \times 59 \times 313 \]

55401 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors75360
Euler totient φ(n)36192
Square3069270801
Cube170040671646201
Square root235.374170
Digit sum / digital root15 / 6
Collatz steps to 178
Scientific notation5.5401 × 10410^{4}

55401 in other forms

FormValue
In wordsfifty-five thousand four hundred and one
Binary (base 2)1101100001101001
Octal (base 8)154151
Hexadecimal (base 16)D869
Base 32210222220
As time55401 seconds = 15 h 23 min 21 s

Is 55401 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 (55401 ÷ 3 = 18467)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 3)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 6)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 5)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 55401 a prime number?

No. 55401 = 3 × 59 × 313, so it is divisible by 3.

What are the factors of 55401?

1, 3, 59, 177, 313, 939, 18467, 55401.

What is 55401 in binary?

1101100001101001 (hexadecimal D869, octal 154151).

What is the square root of 55401?

About 235.3742.

Is 55401 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 55401?

It is a composite number with 8 divisors.

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    55401: is it prime? Factors, square root, binary, Roman numeral | WordGPT