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The number 23410

23410 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 2341. Divisors (8): 1, 2, 5, 10, 2341, 4682, 11705, 23410.

Number

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How to work it out

  1. 1

    What is special about 23410: a Harshad number: divisible by its digit sum 10.

  2. 2

    23410 is composite. Its prime factorisation is

    23410=2×5×234123410 = 2 \times 5 \times 2341
  3. 3

    The divisors add up to 42156; without 23410 itself that is 18746, so 23410 is deficient (18746 is less than 23410). Euler's totient φ(23410) = 9360 numbers up to 23410 share no factor with it.

  4. 4

    The digits of 23410 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 144 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23410 = 2 \times 5 \times 2341 \]

23410 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors42156
Euler totient φ(n)9360
Square548028100
Cube12829337821000
Square root153.003268
Digit sum / digital root10 / 1
Collatz steps to 1144
Scientific notation2.341 × 10410^{4}

23410 in other forms

FormValue
In wordstwenty-three thousand four hundred and ten
Binary (base 2)101101101110010
Octal (base 8)55562
Hexadecimal (base 16)5B72
Base 31012010001
As time23410 seconds = 6 h 30 min 10 s

Is 23410 divisible by 2 to 12?

DivisorAnswerRule
2Yes (23410 ÷ 2 = 11705)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (23410 ÷ 5 = 4682)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (23410 ÷ 10 = 2341)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 23410 a prime number?

No. 23410 = 2 × 5 × 2341, so it is divisible by 2.

What are the factors of 23410?

1, 2, 5, 10, 2341, 4682, 11705, 23410.

What is 23410 in binary?

101101101110010 (hexadecimal 5B72, octal 55562).

What is the square root of 23410?

About 153.0033.

Is 23410 divisible by 3?

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

What is special about the number 23410?

23410 is a Harshad number: divisible by its digit sum 10.

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