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The number 76750

76750 is a composite number with 16 divisors. Its prime factorisation is 2 × 535^{3} × 307. Divisors (16): 1, 2, 5, 10, 25, 50, 125, 250, 307, 614, 1535, 3070, 7675, 15350, 38375, 76750.

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How to work it out

  1. 1

    What is special about 76750: a Harshad number: divisible by its digit sum 25.

  2. 2

    76750 is composite. Its prime factorisation is

    76750=2×53×30776750 = 2 \times 5^{3} \times 307
  3. 3

    The divisors add up to 144144; without 76750 itself that is 67394, so 76750 is deficient (67394 is less than 76750). Euler's totient φ(76750) = 30600 numbers up to 76750 share no factor with it.

  4. 4

    The digits of 76750 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76750 = 2 \times 5^{3} \times 307 \]

76750 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors144144
Euler totient φ(n)30600
Square5890562500
Cube452100671875000
Square root277.037904 (= 5√3070)
Digit sum / digital root25 / 7
Collatz steps to 1169
Scientific notation7.675 × 10410^{4}

76750 in other forms

FormValue
In wordsseventy-six thousand seven hundred and fifty
Binary (base 2)10010101111001110
Octal (base 8)225716
Hexadecimal (base 16)12BCE
Base 310220021121
As time76750 seconds = 21 h 19 min 10 s

Is 76750 divisible by 2 to 12?

DivisorAnswerRule
2Yes (76750 ÷ 2 = 38375)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 (76750 ÷ 5 = 15350)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (76750 ÷ 10 = 7675)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 76750 a prime number?

No. 76750 = 2 × 535^{3} × 307, so it is divisible by 2.

What are the factors of 76750?

1, 2, 5, 10, 25, 50, 125, 250, 307, 614, 1535, 3070, 7675, 15350, 38375, 76750.

What is 76750 in binary?

10010101111001110 (hexadecimal 12BCE, octal 225716).

What is the square root of 76750?

About 277.0379, exactly 5√3070.

Is 76750 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 76750?

76750 is a Harshad number: divisible by its digit sum 25.

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