The number 14700

Q: Is 14700 a prime number?

No. 14700 = 2^2 × 3 × 5^2 × 7^2, so it is divisible by 2.

14700 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × 3 × $5^{2}$ × $7^{2}$ . Divisors (54): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30 … 14700.

Number

Pick any whole number from 1 to 100,000.

14700 = 2^{2} \times 3 \times 5^{2} \times 7^{2}

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How to work it out

1
What is special about 14700: a Harshad number: divisible by its digit sum 12.
2
14700 is composite. Its prime factorisation is
$14700 = 2^{2} \times 3 \times 5^{2} \times 7^{2}$
3
The divisors add up to 49476; without 14700 itself that is 34776, so 14700 is abundant (34776 is more than 14700). Euler's totient φ(14700) = 3360 numbers up to 14700 share no factor with it.
4
The digits of 14700 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page

\[ 14700 = 2^{2} \times 3 \times 5^{2} \times 7^{2} \]

14700 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	49476
Euler totient φ(n)	3360
Square	216090000
Cube	3176523000000
Square root	121.243557 (= 70√3)
Digit sum / digital root	12 / 3
Collatz steps to 1	102
Scientific notation	1.47 × $10^{4}$

14700 in other forms

Form	Value
In words	fourteen thousand seven hundred
Binary (base 2)	11100101101100
Octal (base 8)	34554
Hexadecimal (base 16)	396C
Base 3	202011110
As time	14700 seconds = 4 h 5 min 0 s

Is 14700 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (14700 ÷ 2 = 7350)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (14700 ÷ 3 = 4900)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (14700 ÷ 4 = 3675)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (14700 ÷ 5 = 2940)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (14700 ÷ 6 = 2450)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (14700 ÷ 7 = 2100)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (14700 ÷ 10 = 1470)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (14700 ÷ 12 = 1225)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14700 a prime number?

No. 14700 = $2^{2}$ × 3 × $5^{2}$ × $7^{2}$ , so it is divisible by 2.

What are the factors of 14700?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 49, 50, 60, 70, 75, 84, 98, 100, 105, 140, 147, 150, 175, 196, 210, 245, 294, 300, 350, 420, 490, 525, 588, 700, 735, 980, 1050, 1225, 1470, 2100, 2450, 2940, 3675, 4900, 7350, 14700.

What is 14700 in binary?

11100101101100 (hexadecimal 396C, octal 34554).

What is the square root of 14700?

About 121.2436, exactly 70√3.

Is 14700 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 14700?

14700 is a Harshad number: divisible by its digit sum 12.