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The number 71007

71007 is a composite number with 4 divisors. Its prime factorisation is 3 × 23669. Divisors (4): 1, 3, 23669, 71007.

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How to work it out

  1. 1

    What is special about 71007: a semiprime: 3 × 23669, the product of two primes.

  2. 2

    71007 is composite. Its prime factorisation is

    71007=3×2366971007 = 3 \times 23669
  3. 3

    The divisors add up to 94680; without 71007 itself that is 23673, so 71007 is deficient (23673 is less than 71007). Euler's totient φ(71007) = 47336 numbers up to 71007 share no factor with it.

  4. 4

    The digits of 71007 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71007 = 3 \times 23669 \]

71007 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors94680
Euler totient φ(n)47336
Square5041994049
Cube358016871437343
Square root266.471387
Digit sum / digital root15 / 6
Collatz steps to 1218
Scientific notation7.1007 × 10410^{4}

71007 in other forms

FormValue
In wordsseventy-one thousand and seven
Binary (base 2)10001010101011111
Octal (base 8)212537
Hexadecimal (base 16)1155F
Base 310121101220
As time71007 seconds = 19 h 43 min 27 s

Is 71007 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 (71007 ÷ 3 = 23669)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 2)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71007 a prime number?

No. 71007 = 3 × 23669, so it is divisible by 3.

What are the factors of 71007?

1, 3, 23669, 71007.

What is 71007 in binary?

10001010101011111 (hexadecimal 1155F, octal 212537).

What is the square root of 71007?

About 266.4714.

Is 71007 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 71007?

71007 is a semiprime: 3 × 23669, the product of two primes.

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