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The number 5401

5401 is a composite number with 4 divisors. Its prime factorisation is 11 × 491. Divisors (4): 1, 11, 491, 5401.

Number

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How to work it out

  1. 1

    What is special about 5401: a semiprime: 11 × 491, the product of two primes.

  2. 2

    5401 is composite. Its prime factorisation is

    5401=11×4915401 = 11 \times 491
  3. 3

    The divisors add up to 5904; without 5401 itself that is 503, so 5401 is deficient (503 is less than 5401). Euler's totient φ(5401) = 4900 numbers up to 5401 share no factor with it.

  4. 4

    The digits of 5401 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5401 = 11 \times 491 \]

5401 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5904
Euler totient φ(n)4900
Square29170801
Cube157551496201
Square root73.491496
Digit sum / digital root10 / 1
Collatz steps to 1160
Scientific notation5.401 × 10310^{3}

5401 in other forms

FormValue
In wordsfive thousand four hundred and one
Binary (base 2)1010100011001
Octal (base 8)12431
Hexadecimal (base 16)1519
Base 321102001
As time5401 seconds = 1 h 30 min 1 s

Is 5401 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 4)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 1)A number is divisible by 10 if the last digit is 0.
11Yes (5401 ÷ 11 = 491)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 5401 a prime number?

No. 5401 = 11 × 491, so it is divisible by 11.

What are the factors of 5401?

1, 11, 491, 5401.

What is 5401 in binary?

1010100011001 (hexadecimal 1519, octal 12431).

What is the square root of 5401?

About 73.4915.

Is 5401 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 5401?

5401 is a semiprime: 11 × 491, the product of two primes.

All about 5401

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