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The number 60031

60031 is a triangular number: 1 + 2 + … + 346 = 60031. Its prime factorisation is 173 × 347. Divisors (4): 1, 173, 347, 60031.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 60031: a triangular number: 1 + 2 + … + 346 = 60031; a semiprime: 173 × 347, the product of two primes.

  2. 2

    60031 is composite. Its prime factorisation is

    60031=173×34760031 = 173 \times 347
  3. 3

    The divisors add up to 60552; without 60031 itself that is 521, so 60031 is deficient (521 is less than 60031). Euler's totient φ(60031) = 59512 numbers up to 60031 share no factor with it.

  4. 4

    The digits of 60031 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 117 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60031 = 173 \times 347 \]

60031 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors60552
Euler totient φ(n)59512
Square3603720961
Cube216334973009791
Square root245.012245
Digit sum / digital root10 / 1
Collatz steps to 1117
Scientific notation6.0031 × 10410^{4}

60031 in other forms

FormValue
In wordssixty thousand and thirty-one
Binary (base 2)1110101001111111
Octal (base 8)165177
Hexadecimal (base 16)EA7F
Base 310001100101
As time60031 seconds = 16 h 40 min 31 s

Is 60031 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 3)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 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 7)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.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60031 a prime number?

No. 60031 = 173 × 347, so it is divisible by 173.

What are the factors of 60031?

1, 173, 347, 60031.

What is 60031 in binary?

1110101001111111 (hexadecimal EA7F, octal 165177).

What is the square root of 60031?

About 245.0122.

Is 60031 divisible by 3?

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

What is special about the number 60031?

60031 is a triangular number: 1 + 2 + … + 346 = 60031; a semiprime: 173 × 347, the product of two primes.

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