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The number 62481

62481 is a triangular number: 1 + 2 + … + 353 = 62481. Its prime factorisation is 3 × 59 × 353. Divisors (8): 1, 3, 59, 177, 353, 1059, 20827, 62481.

Number

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How to work it out

  1. 1

    What is special about 62481: a triangular number: 1 + 2 + … + 353 = 62481.

  2. 2

    62481 is composite. Its prime factorisation is

    62481=3×59×35362481 = 3 \times 59 \times 353
  3. 3

    The divisors add up to 84960; without 62481 itself that is 22479, so 62481 is deficient (22479 is less than 62481). Euler's totient φ(62481) = 40832 numbers up to 62481 share no factor with it.

  4. 4

    The digits of 62481 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 148 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62481 = 3 \times 59 \times 353 \]

62481 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors84960
Euler totient φ(n)40832
Square3903875361
Cube243918036430641
Square root249.961997
Digit sum / digital root21 / 3
Collatz steps to 1148
Scientific notation6.2481 × 10410^{4}

62481 in other forms

FormValue
In wordssixty-two thousand four hundred and eighty-one
Binary (base 2)1111010000010001
Octal (base 8)172021
Hexadecimal (base 16)F411
Base 310011201010
As time62481 seconds = 17 h 21 min 21 s

Is 62481 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 (62481 ÷ 3 = 20827)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 6)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 62481 a prime number?

No. 62481 = 3 × 59 × 353, so it is divisible by 3.

What are the factors of 62481?

1, 3, 59, 177, 353, 1059, 20827, 62481.

What is 62481 in binary?

1111010000010001 (hexadecimal F411, octal 172021).

What is the square root of 62481?

About 249.9620.

Is 62481 divisible by 3?

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

What is special about the number 62481?

62481 is a triangular number: 1 + 2 + … + 353 = 62481.

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