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The number 481

481 is a composite number with 4 divisors. Its prime factorisation is 13 × 37. Divisors (4): 1, 13, 37, 481.

Number

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How to work it out

  1. 1

    What is special about 481: a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 37, the product of two primes.

  2. 2

    481 is composite. Its prime factorisation is

    481=13×37481 = 13 \times 37
  3. 3

    The divisors add up to 532; without 481 itself that is 51, so 481 is deficient (51 is less than 481). Euler's totient φ(481) = 432 numbers up to 481 share no factor with it.

  4. 4

    The digits of 481 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.

LaTeX source of the formulas on this page
\[ 481 = 13 \times 37 \]

481 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors532
Euler totient φ(n)432
Square231361
Cube111284641
Square root21.931712
Digit sum / digital root13 / 4
Collatz steps to 148
Scientific notation4.81 × 10210^{2}

481 in other forms

FormValue
In wordsfour hundred and eighty-one
Roman numeralsCDLXXXI
Binary (base 2)111100001
Octal (base 8)741
Hexadecimal (base 16)1E1
Base 3122211
As time481 seconds = 8 min 1 s

Is 481 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 5)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 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 481 a prime number?

No. 481 = 13 × 37, so it is divisible by 13.

What are the factors of 481?

1, 13, 37, 481.

What is 481 in binary?

111100001 (hexadecimal 1E1, octal 741).

What is the square root of 481?

About 21.9317.

What is 481 in Roman numerals?

CDLXXXI.

Is 481 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 481?

481 is a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 37, the product of two primes.

All about 481

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