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The number 24701

24701 is a composite number with 4 divisors. Its prime factorisation is 17 × 1453. Divisors (4): 1, 17, 1453, 24701.

Number

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How to work it out

  1. 1

    What is special about 24701: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 1453, the product of two primes.

  2. 2

    24701 is composite. Its prime factorisation is

    24701=17×145324701 = 17 \times 1453
  3. 3

    The divisors add up to 26172; without 24701 itself that is 1471, so 24701 is deficient (1471 is less than 24701). Euler's totient φ(24701) = 23232 numbers up to 24701 share no factor with it.

  4. 4

    The digits of 24701 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.

LaTeX source of the formulas on this page
\[ 24701 = 17 \times 1453 \]

24701 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors26172
Euler totient φ(n)23232
Square610139401
Cube15071053344101
Square root157.165518
Digit sum / digital root14 / 5
Collatz steps to 1144
Scientific notation2.4701 × 10410^{4}

24701 in other forms

FormValue
In wordstwenty-four thousand seven hundred and one
Binary (base 2)110000001111101
Octal (base 8)60175
Hexadecimal (base 16)607D
Base 31020212212
As time24701 seconds = 6 h 51 min 41 s

Is 24701 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 2)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 5)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 5)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.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24701 a prime number?

No. 24701 = 17 × 1453, so it is divisible by 17.

What are the factors of 24701?

1, 17, 1453, 24701.

What is 24701 in binary?

110000001111101 (hexadecimal 607D, octal 60175).

What is the square root of 24701?

About 157.1655.

Is 24701 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 24701?

24701 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 1453, the product of two primes.

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