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The number 31010

31010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 443. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 443, 886, 2215, 3101, 4430, 6202, 15505, 31010.

Number

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How to work it out

  1. 1

    What is special about 31010: a Harshad number: divisible by its digit sum 5.

  2. 2

    31010 is composite. Its prime factorisation is

    31010=2×5×7×44331010 = 2 \times 5 \times 7 \times 443
  3. 3

    The divisors add up to 63936; without 31010 itself that is 32926, so 31010 is abundant (32926 is more than 31010). Euler's totient φ(31010) = 10608 numbers up to 31010 share no factor with it.

  4. 4

    The digits of 31010 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31010 = 2 \times 5 \times 7 \times 443 \]

31010 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors63936
Euler totient φ(n)10608
Square961620100
Cube29819839301000
Square root176.096564
Digit sum / digital root5 / 5
Collatz steps to 1147
Scientific notation3.101 × 10410^{4}

31010 in other forms

FormValue
In wordsthirty-one thousand and ten
Binary (base 2)111100100100010
Octal (base 8)74442
Hexadecimal (base 16)7922
Base 31120112112
As time31010 seconds = 8 h 36 min 50 s

Is 31010 divisible by 2 to 12?

DivisorAnswerRule
2Yes (31010 ÷ 2 = 15505)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (31010 ÷ 5 = 6202)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (31010 ÷ 7 = 4430)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (31010 ÷ 10 = 3101)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31010 a prime number?

No. 31010 = 2 × 5 × 7 × 443, so it is divisible by 2.

What are the factors of 31010?

1, 2, 5, 7, 10, 14, 35, 70, 443, 886, 2215, 3101, 4430, 6202, 15505, 31010.

What is 31010 in binary?

111100100100010 (hexadecimal 7922, octal 74442).

What is the square root of 31010?

About 176.0966.

Is 31010 divisible by 3?

No. Its digits add up to 5, which is not a multiple of 3.

What is special about the number 31010?

31010 is a Harshad number: divisible by its digit sum 5.

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